{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "texture_1 = plt.imread('../data/texture1.jpg').astype(np.float32)\n",
    "h, w, c = texture_1.shape\n",
    "block_size = 100\n",
    "overlap_size = int(block_size / 6)\n",
    "assert block_size < min(h, w)\n",
    "y_max, x_max = h - block_size, w - block_size\n",
    "dh = h * 2\n",
    "dw = w * 2\n",
    "nx_blocks = ny_blocks = max(dh, dw) // block_size\n",
    "w_new = h_new = nx_blocks * block_size - (nx_blocks - 1) * overlap_size\n",
    "n_blocks = nx_blocks * ny_blocks\n",
    "xs = np.arange(x_max)\n",
    "ys = np.arange(y_max)\n",
    "all_blocks = np.array([texture_1[y:y + block_size, x:x + block_size] for x in xs for y in ys])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "# normalize_img normalizes our output to be between 0 and 1\n",
    "def normalize_img(im):\n",
    "    img = im.copy()\n",
    "    img += np.abs(np.min(img))\n",
    "    img /= np.max(img)\n",
    "    return img\n",
    "\n",
    "def l2_top_bottom(patch_top, patch_bottom):\n",
    "    block_top  = patch_top[-overlap_size:, :]\n",
    "    \n",
    "    if patch_bottom.ndim == 3:\n",
    "        block_bottom = patch_bottom[:overlap_size]\n",
    "    elif patch_bottom.ndim == 4:\n",
    "        block_bottom = patch_bottom[:, :overlap_size]\n",
    "        \n",
    "    top_cost  = l2_loss(block_top, block_bottom)\n",
    "    \n",
    "    return top_cost\n",
    "\n",
    "def l2_left_right(patch_left, patch_right):\n",
    "    block_left  = patch_left[:, -overlap_size:]\n",
    "    \n",
    "    if patch_right.ndim == 3:\n",
    "        block_right = patch_right[:, :overlap_size]\n",
    "    elif patch_right.ndim == 4:\n",
    "        block_right = patch_right[:, :, :overlap_size]\n",
    "\n",
    "    left_cost  = l2_loss(block_left, block_right)\n",
    "    \n",
    "    return left_cost\n",
    "\n",
    "def l2_loss(block_1, block_2):\n",
    "    sqdfs = np.sum((block_1 - block_2) ** 2, axis=-1)\n",
    "    return np.sqrt(np.sum(np.sum(sqdfs, axis=-1), axis=-1))\n",
    "\n",
    "def select_min_patch(patches, cost):\n",
    "    min_cost  = np.min(cost)\n",
    "    tolerance = 0.1\n",
    "    upper_cost_bound = min_cost + tolerance * min_cost\n",
    "    # pick random patch within tolerance\n",
    "    patch = patches[np.random.choice(np.argwhere(cost <= upper_cost_bound).flatten())]\n",
    "    return patch\n",
    "\n",
    "def compute_error_surface(block_1, block_2):\n",
    "    return np.sum((block_1 - block_2) ** 2, axis=-1)\n",
    "\n",
    "# def min_paths()\n",
    "\n",
    "def min_vert_path(error_surf_vert):\n",
    "    top_min_path = np.zeros((block_size), dtype=np.int)\n",
    "    top_min_path[0] = np.argmin(error_surf_vert[0, :], axis=0)\n",
    "    for i in range(1, block_size):\n",
    "        err_mid_v = error_surf_vert[i, :]\n",
    "        mid_v = err_mid_v[top_min_path[i - 1]]\n",
    "\n",
    "        err_left = np.roll(error_surf_vert[i, :], 1, axis=0)\n",
    "        err_left[0] = np.inf\n",
    "        left = err_left[top_min_path[i - 1]]\n",
    "\n",
    "        err_right = np.roll(error_surf_vert[i, :], -1, axis=0)\n",
    "        err_right[-1] = np.inf\n",
    "        right = err_right[top_min_path[i - 1]]\n",
    "\n",
    "        next_poss_pts_v = np.vstack((left, mid_v, right))\n",
    "        new_pts_ind_v = top_min_path[i - 1] + (np.argmin(next_poss_pts_v, axis=0) - 1)\n",
    "        top_min_path[i] = new_pts_ind_v\n",
    "\n",
    "    return top_min_path\n",
    "\n",
    "def min_hor_path(error_surf_hor):\n",
    "    left_min_path = np.zeros((block_size), dtype=np.int)\n",
    "    left_min_path[0] = np.argmin(error_surf_hor[:, 0], axis=0)\n",
    "    for i in range(1, block_size):\n",
    "        err_mid_h = error_surf_hor[:, i]\n",
    "        mid_h = err_mid_h[left_min_path[i - 1]]\n",
    "\n",
    "        err_top = np.roll(error_surf_hor[:, i], 1, axis=0)\n",
    "        err_top[0] = np.inf\n",
    "        top = err_top[left_min_path[i - 1]]\n",
    "\n",
    "        err_bot = np.roll(error_surf_hor[:, i], -1, axis=0)\n",
    "        err_bot[-1] = np.inf\n",
    "        bot = err_bot[left_min_path[i - 1]]\n",
    "\n",
    "        next_poss_pts_h = np.vstack((top, mid_h, bot))\n",
    "        new_pts_ind_h = left_min_path[i - 1] + (np.argmin(next_poss_pts_h, axis=0) - 1)\n",
    "        left_min_path[i] = new_pts_ind_h\n",
    "        \n",
    "    return left_min_path\n",
    "\n",
    "\n",
    "def compute_lr_join(block_left, block_right, error_surf_vert=None):\n",
    "    if error_surf_vert is None:\n",
    "        error_surf_vert = compute_error_surface(block_right, block_left)\n",
    "    \n",
    "    vert_path = min_vert_path(error_surf_vert)\n",
    "    yy, xx = np.meshgrid(np.arange(block_size), np.arange(overlap_size))\n",
    "    vert_mask = xx.T <= np.tile(np.expand_dims(vert_path, 1), overlap_size)\n",
    "    \n",
    "    lr_join = np.zeros_like(block_left)\n",
    "    lr_join[:, :][vert_mask]  = block_left[vert_mask]\n",
    "    lr_join[:, :][~vert_mask] = block_right[~vert_mask]\n",
    "    \n",
    "    return lr_join\n",
    "\n",
    "def compute_bt_join(block_top, block_bottom, error_surf_hor=None):\n",
    "    if error_surf_hor is None:\n",
    "        error_surf_hor = compute_error_surface(block_bottom, block_top)\n",
    "\n",
    "    hor_path = min_hor_path(error_surf_hor)\n",
    "    yy, xx = np.meshgrid(np.arange(block_size), np.arange(overlap_size))\n",
    "    hor_mask = (xx.T <= np.tile(np.expand_dims(hor_path, 1), overlap_size)).T\n",
    "    \n",
    "    bt_join = np.zeros_like(block_top)\n",
    "    bt_join[:, :][hor_mask] = block_top[hor_mask]\n",
    "    bt_join[:, :][~hor_mask] = block_bottom[~hor_mask]\n",
    "\n",
    "    return bt_join\n",
    "\n",
    "def lr_bt_join_double(best_left_block, right_block, best_top_block, bottom_block):\n",
    "    error_surf_hor  = compute_error_surface(best_left_block, right_block)\n",
    "    error_surf_vert = compute_error_surface(best_top_block, bottom_block)\n",
    "\n",
    "    vert_contrib = np.zeros_like(error_surf_vert)\n",
    "    hor_contrib  = np.zeros_like(error_surf_hor)\n",
    "\n",
    "    vert_contrib[:, :overlap_size] += (error_surf_hor[:overlap_size, :] + error_surf_vert[:, :overlap_size])/2\n",
    "    hor_contrib[:overlap_size, :]  += (error_surf_vert[:, :overlap_size] + error_surf_hor[:overlap_size, :])/2\n",
    "\n",
    "    error_surf_vert += vert_contrib\n",
    "    error_surf_hor  += hor_contrib\n",
    "\n",
    "    left_right_join = compute_lr_join(right_block, best_left_block, error_surf_vert=error_surf_hor)\n",
    "    bottom_top_join = compute_bt_join(bottom_block, best_top_block, error_surf_hor=error_surf_vert)\n",
    "    \n",
    "    return left_right_join, bottom_top_join"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Random index: 5206\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "rand_idx = np.random.randint(len(all_blocks))\n",
    "print('Random index: %d' % rand_idx)\n",
    "rand_patch = all_blocks[rand_idx]\n",
    "left_block = rand_patch[:, -overlap_size:]\n",
    "bottom_block = rand_patch[ -overlap_size:, :]\n",
    "\n",
    "plt.title('Random patch')\n",
    "plt.imshow(normalize_img(rand_patch))\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# horizontal case\n",
    "left_cost = l2_left_right(patch_left=rand_patch, patch_right=all_blocks)\n",
    "top_cost = l2_top_bottom(patch_top=rand_patch, patch_bottom=all_blocks)\n",
    "\n",
    "best_right_patch = select_min_patch(all_blocks, left_cost)\n",
    "best_top_patch = select_min_patch(all_blocks, top_cost)\n",
    "\n",
    "best_right_block = best_right_patch[:, :overlap_size]\n",
    "best_top_block = best_top_patch[:overlap_size, :]\n",
    "\n",
    "fig, ax = plt.subplots(1,2)\n",
    "ax[0].set_title('Best right patch')\n",
    "ax[0].imshow(normalize_img(best_right_patch))\n",
    "\n",
    "ax[1].set_title('Best top patch')\n",
    "ax[1].imshow(normalize_img(best_top_patch))\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "error_surf_vert = compute_error_surface(best_right_block, left_block)\n",
    "error_surf_hor = compute_error_surface(best_top_block, bottom_block)\n",
    "\n",
    "fig, ax = plt.subplots(1,2)\n",
    "ax[0].set_title('Vertical Error Surface')\n",
    "ax[0].imshow(error_surf_vert)\n",
    "\n",
    "ax[1].set_title('Horizontal Error Surface')\n",
    "ax[1].imshow(error_surf_hor)\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "vert_path = min_vert_path(error_surf_vert)\n",
    "vert_err_cut = error_surf_vert.copy()\n",
    "yy, xx = np.meshgrid(np.arange(block_size), np.arange(overlap_size))\n",
    "vert_path_mask = xx.T ==  np.tile(np.expand_dims(vert_path, 1), overlap_size)\n",
    "vert_err_cut[vert_path_mask] = np.nan\n",
    "\n",
    "hor_path = min_hor_path(error_surf_hor)\n",
    "hor_err_cut = error_surf_hor.copy()\n",
    "yy, xx = np.meshgrid(np.arange(block_size), np.arange(overlap_size))\n",
    "hor_path_mask = (xx.T ==  np.tile(np.expand_dims(hor_path, 1), overlap_size)).T\n",
    "hor_err_cut[hor_path_mask] = np.nan\n",
    "\n",
    "fig, ax = plt.subplots(1,2)\n",
    "ax[0].set_title('Vertical Error Surface Cut')\n",
    "ax[0].imshow(vert_err_cut)\n",
    "\n",
    "ax[1].set_title('Horizontal Error Surface')\n",
    "ax[1].imshow(hor_err_cut)\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "vert_mask = xx.T <= np.tile(np.expand_dims(vert_path, 1), overlap_size)\n",
    "hor_mask = (xx.T <=  np.tile(np.expand_dims(hor_path, 1), overlap_size)).T\n",
    "\n",
    "fig, ax = plt.subplots(1,2)\n",
    "ax[0].set_title('Vertical Mask')\n",
    "ax[0].imshow(vert_mask)\n",
    "\n",
    "ax[1].set_title('Horizontal Mask')\n",
    "ax[1].imshow(hor_mask)\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "lr_join = np.zeros_like(left_block)\n",
    "lr_join[:, :][vert_mask] = left_block[vert_mask]\n",
    "lr_join[:, :][~vert_mask] = best_right_block[~vert_mask]\n",
    "\n",
    "bt_join = np.zeros_like(bottom_block)\n",
    "bt_join[:, :][hor_mask] = bottom_block[hor_mask]\n",
    "bt_join[:, :][~hor_mask] = best_top_block[~hor_mask]\n",
    "\n",
    "fig, ax = plt.subplots(1,2)\n",
    "ax[0].set_title('LR Join')\n",
    "ax[0].imshow(normalize_img(lr_join))\n",
    "\n",
    "ax[1].set_title('BT Join')\n",
    "ax[1].imshow(normalize_img(bt_join))\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 8 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# join left and right blocks\n",
    "left_right_join = np.hstack((left_block[:, :overlap_size//2], best_right_block[:, overlap_size//2:]))\n",
    "\n",
    "fig, ax = plt.subplots(2, 4)\n",
    "\n",
    "ax[0,0].imshow(normalize_img(left_block))\n",
    "ax[0,0].set_title('Left Block')\n",
    "ax[0,0].axis('off')\n",
    "\n",
    "ax[0,1].imshow(normalize_img(best_right_block))\n",
    "ax[0,1].set_title('Best Right Block')\n",
    "ax[0,1].axis('off')\n",
    "\n",
    "ax[0,2].imshow(normalize_img(left_right_join))\n",
    "ax[0,2].set_title('Mid-cut')\n",
    "ax[0,2].axis('off')\n",
    "\n",
    "ax[0,3].imshow(normalize_img(lr_join))\n",
    "ax[0,3].set_title('Min-cut')\n",
    "ax[0,3].axis('off')\n",
    "\n",
    "full_join = np.hstack((rand_patch[:, :-overlap_size], left_right_join, best_right_patch[:, overlap_size:]))\n",
    "full_join_mincut = np.hstack((rand_patch[:, :-overlap_size], lr_join, best_right_patch[:, overlap_size:]))\n",
    "ax[1,0].imshow(normalize_img(full_join))\n",
    "ax[1,0].set_title('Full Join Mid-cut')\n",
    "ax[1,0].axis('off')\n",
    "ax[1,1].axis('off')\n",
    "ax[1,2].imshow(normalize_img(full_join_mincut))\n",
    "ax[1,2].set_title('Full Join Min-cut')\n",
    "ax[1,2].axis('off')\n",
    "ax[1,3].axis('off')\n",
    "\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "r1 = 2549, r2 = 9663\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\lousc\\Anaconda3\\envs\\py3-6\\lib\\site-packages\\ipykernel_launcher.py:34: RuntimeWarning: invalid value encountered in sqrt\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# now focus on L-shaped area\n",
    "r1,r2 = np.random.randint(len(all_blocks), size=2)\n",
    "print('r1 = %d, r2 = %d' % (r1, r2))\n",
    "left_patch = all_blocks[r1]\n",
    "top_patch = all_blocks[r2]\n",
    "\n",
    "left_cost  = l2_left_right(patch_left=left_patch, patch_right=all_blocks)\n",
    "top_cost = l2_top_bottom(patch_top=top_patch, patch_bottom=all_blocks)\n",
    "best_rb_patch = select_min_patch(all_blocks, top_cost + left_cost)\n",
    "\n",
    "fig,ax = plt.subplots(2,2)\n",
    "ax[0,0].axis('off')\n",
    "\n",
    "ax[1,0].imshow(normalize_img(left_patch))\n",
    "ax[1,0].set_title('Left Patch')\n",
    "ax[1,0].axis('off')\n",
    "\n",
    "ax[0,1].imshow(normalize_img(top_patch))\n",
    "ax[0,1].set_title('Top Patch')\n",
    "ax[0,1].axis('off')\n",
    "\n",
    "ax[1,1].imshow(normalize_img(best_rb_patch))\n",
    "ax[1,1].set_title('Best RB Patch')\n",
    "ax[1,1].axis('off')\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\lousc\\Anaconda3\\envs\\py3-6\\lib\\site-packages\\ipykernel_launcher.py:5: RuntimeWarning: invalid value encountered in true_divide\n",
      "  \"\"\"\n",
      "C:\\Users\\lousc\\Anaconda3\\envs\\py3-6\\lib\\site-packages\\matplotlib\\image.py:405: UserWarning: Warning: converting a masked element to nan.\n",
      "  dv = (np.float64(self.norm.vmax) -\n",
      "C:\\Users\\lousc\\Anaconda3\\envs\\py3-6\\lib\\site-packages\\matplotlib\\image.py:406: UserWarning: Warning: converting a masked element to nan.\n",
      "  np.float64(self.norm.vmin))\n",
      "C:\\Users\\lousc\\Anaconda3\\envs\\py3-6\\lib\\site-packages\\matplotlib\\image.py:412: UserWarning: Warning: converting a masked element to nan.\n",
      "  a_min = np.float64(newmin)\n",
      "C:\\Users\\lousc\\Anaconda3\\envs\\py3-6\\lib\\site-packages\\matplotlib\\image.py:417: UserWarning: Warning: converting a masked element to nan.\n",
      "  a_max = np.float64(newmax)\n",
      "C:\\Users\\lousc\\Anaconda3\\envs\\py3-6\\lib\\site-packages\\matplotlib\\colors.py:916: UserWarning: Warning: converting a masked element to nan.\n",
      "  dtype = np.min_scalar_type(value)\n",
      "C:\\Users\\lousc\\Anaconda3\\envs\\py3-6\\lib\\site-packages\\numpy\\ma\\core.py:716: UserWarning: Warning: converting a masked element to nan.\n",
      "  data = np.array(a, copy=False, subok=subok)\n"
     ]
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAUIAAAEICAYAAAAqbv2WAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDIuMi4yLCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvhp/UCwAAIABJREFUeJzt3XmQZedZ3/Hvc87de7k93T1rz/RII41kLbZs2caWMRgbJ4TF4CpiAzZ2DBVSQIVKsZklkLCasBQQEgiBhN0LTgIGYxZjvNsywZskR5Y1kmZfe19u3/28+eN5e/FES9tSPMD7+1R1Tc+55557zum+v37e5ZxrIQRERFKWXesdEBG51hSEIpI8BaGIJE9BKCLJUxCKSPIUhCKSvGsShGb262b2o9fitR+LmZ0ys5de6/0QkS+8JwzCRwsIM3udmX3w833REMK3hxB+8vN9/hMxs+vMLJhZ6Snc5heZ2Z+b2bKZLZrZ/zazb3mS2/wdM/upp2ofReTz8wWvCM0s/0K/5pNlZncB7wbeB9wITAHfAXzltdwvEXlqPCVBaGa3mNl7Y7X0f8zsa3c89jtm9l9iNdUCXryzEjKzt5vZ+o6vwsxeFx97gZn9nZmtxH9fsGO77zWznzSzD5nZmpm908ym48Pvj/8ux23eZWY3mNm7zWzBzObN7I1mNrHLQ/x54HdDCD8bQpgP7mMhhFfu2J9vM7OHYrX4p2Z2KC43M/slM7sSj+NeM7vdzP4V8Grg9XEf3/75nX0RebKedBCaWRl4O/BOYB/wXcAbzezmHau9CvhpYAz4rCZ1COFlIYTREMIo8M+BS8DfmNkk8A7gV/AK7BeBd5jZ1FXb/Zb4uhXg++LyL43/TsRt3w0Y8DPAIeAW4AjwY7s4vgZwF/A/H2edl8RtvxI4CJwG3hIf/qdxf24CJoBvABZCCL8BvBH4ubiPL3uifRGR/z92G4Rvi9XespktA7+247HnA6PAfwgh9EII7wb+DPimHev8SQjhQyGEIoTQebQXMLObgN8DviGEcBb4auBECOH3QwiDEMKbgQeAnYHx2yGEB0MIbeCtwDMf6wBCCA+FEP46hNANIczhwfqiXRz7Hvw8XXycdV4N/FYI4eMhhC7wQ8BdZnYd0Mf/ADwNsBDCp0MIj7ctEfkC220QvjyEMLH5BXznjscOAWdDCMWOZaeBmR3/P/t4GzezJvAnwI+GED6wY7unr1r16u1e2vH9Bh7Ij/Ua+8zsLWZ23sxWgT8Aph9r/R2WgAKv9B7LZ+1rCGEdWABm4h+G/wz8KnDZzH7DzMZ38boi8gXyVPQRXgCOmNnObc0C53f8/zFvcROf9ybgPSGE/3rVdo9etfrV230sj/Z6PxOXPyOEMA58M95cfvwNhbAB3A18/eOs9ln7amYjeHP+fNzGr4QQng3chjeRv/9x9lNEvsCeiiD8W6CFd/qXzezL8ObrWx73Wdt+GhgB/s1Vy/8cuMnMXmVmJTP7BuBWvNn9RObwKu7YjmVjwDo+gDLDdhjtxuuB15nZ92/2UZrZHWa2eYxvAr7FzJ5pZlXgDcDfhhBOmdlzzex5sS+1BXSAYXze5av2UUSugScdhCGEHvC1+FSSebz/8LUhhAd2uYlvwvsZl3aMHL86hLAAfA3wvXgz8/XA14QQ5nexTxt4wH4o9ms+H/hx4E5gBR+E+aPP4Rg/DLwkfj1iZovAb+BhTQjhb4AfBf4X3pd4A/CN8enjwG/iTezT8Vh+IT7234Fb4z6+bbf7IyJPLdONWUUkdbrWWESSpyAUkeQpCEUkeQpCEUmeglBEkqcgFJHkKQhFJHkKQhFJnoJQRJKnIBSR5CkIRSR5CkIRSZ6CUESSpyAUkeQpCEUkeQpCEUmeglBEkqcgFJHkKQhFJHkKQhFJnoJQRJKnIBSR5CkIRSR5CkIRSZ6CUESSpyAUkeQpCEUkeQpCEUmeglBEkqcgFJHkKQhFJHkKQhFJnoJQRJKnIBSR5CkIRSR5CkIRSZ6CUESSpyAUkeQpCEUkeQpCEUmeglBEkqcgFJHkKQhFJHkKQhFJnoJQRJKnIBSR5CkIRSR5CkIRSZ6CUESSpyAUkeQpCEUkeQpCEUmeglBEkqcgFJHkKQhFJHkKQhFJnoJQRJKnIBSR5CkIRSR5CkIRSZ6CUESSpyAUkeQpCEUkeQpCEUmeglBEkqcgFJHkKQhFJHkKQhFJnoJQRJKnIBSR5CkIRSR5CkIRSZ6CUESSpyAUkeQpCEUkeQpCEUmeglBEkqcgFJHkKQhFJHkKQhFJnoJQRJKnIBSR5CkIRSR5CkIRSZ6CUESSpyAUkeQpCEWuETP7YTP7b09yG9eZWTCz0lO1XylSEIpcxcz+ysx+4lGWf52ZXfp8QsfMvszMzu1cFkJ4QwjhXz6Zfd3la7/KzD5qZutmdtHM/sLMXvgkt3nKzF76VO3jtaYgFPl//Q7wGjOzq5a/BnhjCGHwuWzsWlZrZvY9wC8DbwD2A7PArwFfd6326e+lEIK+9KWvHV9AHVgBvnTHsj1AB7gj/r8K/AJwBrgM/DpQj499GXAO+AHgEvA/gDZQAOvx6xDwY8Af7HiNFwIfBpaBs8Dr4vKvBj4BrMblP7bjOdcBASg9ynE042u94nGOtYoH5YX49ctANT42DfxZ3J9F4AN48fT78Vjacfuvv9Y/syf7pYpQ5CohhDbwVuC1Oxa/EngghHBP/P/PAjcBzwRuBGaAf7dj/QPAJHA0bucrgQshhNH4dWHna5rZLPAXwH8C9sbtfjI+3IrbmMBD8TvM7OW7OJS7gBrwx4+zzr8Fnh9f7w7gi4AfiY99Lx7oe/Fq8oeBEEJ4Df4H4GXxWH5uF/vy95qCUOTR/S7wCjOrx/+/Ni4jNpm/DfjuEMJiCGENb3p+447nF8C/DyF0Y7A+kVcD7wohvDmE0A8hLIQQPgkQQnhvCOG+EEIRQrgXeDPwol1scwqYD4/flH818BMhhCshhDngx/EuAIA+cBA4GvfpAyGWiv/YKAhFHkUI4YPAHPB1ZnYMeC7wpvjwXqABfMzMls1sGfjLuHzTXAih8zm85BHg4Ud7wMyeZ2bvMbM5M1sBvh1vtj6RBWD6CfooDwGnd/z/dFwG8PPAQ8A7zewRM/vBXbzmP0gKQpHH9nt4Jfga4J0hhMtx+TzeP3ZbCGEifjVDCKM7nnt15fREldRZ4IbHeOxNwJ8CR0IITbw/8uqBnEdzN96v+XjN6At4833TbFxGCGEthPC9IYRjwMuA7zGzL4/r/aOqDBWEIo/t94CX4s3g391cGEIogN8EfsnM9gGY2YyZfcXjbOsyMGVmzcd4/I3AS83slWZWMrMpM3tmfGwMWAwhdMzsi4BX7WbnQwgreL/lr5rZy82sYWZlM/tKM9vs13sz8CNmttfMpuP6fxCP6WvM7MbYFbAKDOPX5vEc281+/EOgIBR5DCGEU/go7gheke30A3iz8SNmtgq8C7j5cbb1AB46j8Tm9KGrHj8DfBU+QLGID5TcER/+TuAnzGwND6q3fg7H8IvA9+ADIHN45fmvgbfFVX4K+ChwL3Af8PG4DOB4PK51vLr8tRDCe+NjP4MH6LKZfd9u9+fvK/tH2vcpIrJrqghFJHkKQhFJnoJQRJKnIBSR5OnWPXJN3fpDvxQAZn/rBGFjA4CL33oHK7f3Adh7d4nmwz4vufTxByniOlmjQbbf5y+v3Lmf1dkcgPaBwGAiXkgxNPJ1X37gIwUA4w8sM7z/QX98x0ChVatkszMA9PePsz5bA6CzJ6O25M+tLg2pLPcAKJ+ZY3Dh4vbzS2Xfr8kJXzDZhCzWGYMhXJ7z7/Oc1RcfB+DS8zJuuPMsAGfeN8v4Sd+fkYs96ieuAFDMLxJ6fi6yiSY22vBN7h0HYO36EdrT/jpFCZqn/djHPnqeYnHJl29sYOWKv35mWJ7HfS5tnc8w3JwVs+O8ZPmOZQU7bW5j53Ozep1sn8/zHhyYYH3W93VjX8baUd/mcGyINXwfLYvH+4k6M++K+3rfg2QVP5fFM45z8UvGAOg8p8UXX/8IAJfbY5xb8VlI7QcnmLzP92P8ZJvK2QXfp6UVhmtrAPz18K1POOdSQSjX1JF3LAJQLK/Qe9HTAXjuN9/Duz5xGwB5L5B1Y7Bl2VbgFBsbW+Eyfm9O3p0CoLqU0zpUjutD1TdP44KHafHQqa1tWJ5RdLv+vRmU/e1QVHKGFX/vDEagYx40y8czehMeAOMPXceBD/qb0U6e39pOsRBfcHF5OzwsI2v6G3pw8xEuPc+3ZzNtTi/s8V0N0I/TsXvNEvkRP55yo4bNLwMQ1tYIrRYApY6/3p4rK0yM+FWA7cNjEG+YE9ptirgOWU4W12HfNIOp7XnfpUdimA8GUCrF3Y0BXqtCO5631gZW9TANM/voT/r2qo/MMTjjdxezRp0QQ8yGgeqiB3htAcZP+3lr7ctZO+bfD2Z922vHB1xZ8z8gB5YPbW2vdHmZxuURANbnaryvfzweW87Evf46192zQeX0vO/j4hJFDOUwGGz9nHdDQSjX1kOnAMgPH2Tp5ioA19fnyTb8zZh3Azb0QDEzQhb/uFsGm1XM0iq1y159EOoM6v5rPazB+BkP0fI5rxQG3S758TgPuJSTz3lwDRcWyee8KqmaMax5xRWshMUCqTduFA1/zY1DRnvGA6XR2UcWQ7lY96AK/R4WgyUbHyUc3g/A2myNyrIfQ6dWZVD37VUqgUHDl2/szRhWvCKtjZbZvNg5y7OtoNt8HdZbWPy+HgKDibh2f/vyYstsK+SK8Tpr1/k6w4ox2fGqOl9pEUoeUCGPFWatslWdZXlOscfPydLtTTqTvs6BtSac3b5/hHW9Ys5WjUrhP7esMyBv+vHk3TKVlu/LQuHL+s2CjYN+XN1jeynP+c+qmFtg5OI+P8fnqxRXfP9q84Hp+7ySLT9yiRAD3w4fpGj471B+cZ7BlXl2S32EIpI8VYRyTRUdbx617tjP8u1exbzt7DO2rqTd2JdR6ni111idJltaASC0O9sVYb9H6YovrwGrR70ZWlSgcXoVgOHFSwDkE016M94MC5lRLbzcy9ZbW83ObCGjtNebZHkvJ+SxmVwPUPb1ByOB5Ru9WhpWpxiL/WqblUXo9SnaftOZ0NogW/UKZuRijW7Tq5ZhLaM36sdc3NBmfSFWM62MFf+WqXtKDGvefK5fqpPPe79XFvvoQmsDNivmjQ7lDT+fw9j3B7EvcGUt7tgBFp4eq8pKYNDwKm/qvh3NyFh1Dho5pQ1vDtvkyFYlufh0oz/pzd6DHyhgs0ofFlvPtY0O+eq6L89zSrFSLM1n1M75vtev+M9pfabChhfMrB6tMrXolz4X93yaypz/TMZPlxl/yLeXL64TVvznGgD2TgLQOj7J8o0eaXtONKi9a5ndUhDKNZXv8Tf5wq0lXvKsewG4f2k/Rc3f3N2JEu3YlKruGSHfDJxSiWLV39yh04XYPMzGG1SX/bn1eeDkeV9ns+/ouhlah/zNXd4oqCzEAMjzrWANG20ql33bo4zRmfJ1Kms5/Y0YQBN9Vu/0p64fLbOxz5twY+cmt45t5FMevoPTZyE29/LpMfpj3iQMx9e57YA3qQ/WV7k848Gw3KlTL3nQnMhnGD3lx78xNUJ11cOo1I4DDScWCZtN08UhNubN9TAYkDVid0GxI6wKGNb9ufWjayyN+zqdyQZV7xmguuLnL+SGFbFJXTJah2JAHuhSP+FJna1uMIx9qISCEAM39HqfPRgVm+Zb+wFUr/g5qZ0cpX/Q/zgN6yWKalzXDLvg56cJ2Bnvzxy22mR1P4eD265n5UY/hvlnB4qGn7fG5Zxasfur5tQ0FpHkqSKUa6q48TAA7ZkhIyXv9A7BoOpVSa8ZaPe8iqgt1anEgZDSUhWLFUdYWfWmMoAZ5Q1f3rjYpohTKLYqz6c3WT/s26suG9V5r2zKlcrWVBJ6PbIlb3qVq2UGI14FltcyysteO/RqxtFZ74xfaDZYHPFKbH3W92/6nkCIU12sVNquNss5nWnfv+v2LrHU8QqvUeoxUfHXL9mQQ3V//eI24+S0jyD3SkNam2NF947FMzjJ6Lo/b3j5ynZlY4Y14sDJYABxQCG7skTjgo92h6Ow/7CXgflswYWTPvWlcTaOHhdeCQIMa4HedBx4qvUpdWLbfce0m9DpEmIzPQz6bD8QtprMn/X9poVFsrNeuef1Otl4HGEHhovevM3WWwzjyHw+NUn/llkAzv6TGr1Zb3bfcOQKD504CEBlvcAqGjWWfyA6+2IzMQ+879yNAIzWupQb/svd3wetiv+altdzyuP+Vq+NlGjEaTU2GHhfGUAIlFv+5iydX2S42SQ74G/ytVmjcyiGUpYzrMWQK22/FXZ8nkdcb/uNm/Xj94OMcu7babcrUPYAGNYepZFl26O9wdi6k9+VtVHWH/FQmuvuZzAep9sU8KlpD/ZDUyvcOetzDb9q+j4mcj/O717+JgAWu2Xyjr/5a63W9mgyYPX61jmhGvsl5xfY/3cHADhfb3I5hsizbjpN74ifg/mq9xtaXhCGcfS+NmBv07fd6ZcoNjMmy7amCYVBQYjN0c+aupIZW5+Dle04F3F+pOXZ1pzL0G4zWF/f3u/g57joFuRN36/e7Ue5eJf/3hz7klMcjH80Pnj6GOMP+DHUL6xsz+PcBTWNRSR5qgjlmso7ccSzV6LT9Srii2dOcq7uneetfoXVWDUuD6awIjZr58tY4c3dRrdHEUco85UWtUGszi5dIZvwiqt70KuJ9tH+9r2Vs3xrjiCwVbWEYeHNScC6fUqxwqysZQzq2yOql9e8OVzM1bYrwob/u3akxMh5r8iynRXloKBx0f/fb+3hwGfiwM6VLoNGvFrDoLXPm9VXZkY4fb1XbQudEWZHvSl7y43elPx0mKE274M/tfu2J0BTBIpmHDiplbBePJ6VVaqf8cGV6cmjLPb9uaf37+H4pDf17zpwEoA7Rs7ywRWfxDwMxvOavvxDSzfywEq8gmZz0jaQ7dmDxbmI1Gtb8xFtMGQ45c3dUMq2lucrvq+hnBOq/rys3Se/vD3JvohVY753iuKwz3lcvKXKxjFf/qLpEzy04QNVveUqE4vxB1rESnOXFIRyTW1Ojyht7GG66WH25c37mRuJl1aFMutDD8I/7N9Js+5vnvPnJ6ktenDWH97RrF1dh82pFYM+YcbfJKtH/Q0/M3uZCw/7GyrrsRWKVsoJm5eNDQZbfY7ZaotK1V8nZGDDeOVEyFiNV4tkAYgTrScm/Rjal6a2m9TD4VZzMF/aYN/H/XXyzoD8nI+Khk6Xyub6pRKNSQ/wPZMjrJ7y479y6DCn9/plgF//0rsBD8L6wvZo9+borFUqtI/4/nUncqorvk7j4tjWaPvImRbDioflYm2ae2715vOXX+eXIB4oL1PPPXBG8i5Hyj7KO9d5pp87gCzbGp1efdExeiMePp0po4hX9eUdn9wOeJM6nvPqsj+vyCGLXY15NzB6wfdp5ONnCfPxSp3mGK1ZX96ZNrK6B/viYITzG36uspEB3ab/fPqTNarn4g7sgprGIpI8VYRyTYWyV0ellnHlkz6r9sc7X81kwycj94uMgyNe4TXrHbLYlq2OdVm61X99mycnKF/wz1Uqdk4krlQYjHspElt4fNeRj/Grq1/q614coz8WL9u6+iYCm6O8nQ624c2/ynKGxfGMkJXpTsQ5djevUyrFJvH9Po9wdMErPt+R7WuaOXGS7ER8oTyn2LyEbaJJWPNqcri0gsVrlq0ITD7o25zcN0n3gFdF7/70XQDs7wbGPunN5GGv5/P3gNLRIxTxeum550A1zpc80Jml+vGHfNsnL9DseMVc6oyzvOoV5DvWbwfgLyu38owjft3vaw9+inet+PXf5z5whINn/XVCt0txk4/gLt6c07s1fnKpBW466DeOuGX8Eg+vxyrcCgbBz/VyHDG/sjJKdzHOj1zJsYGf1xG2m7fW7m5Nsm8f7rNn3H/O9y0fohLLyYlmi17Vt1OUM8L+KXZLFaGIJE8VoVxT+QXvdzr0gSo2jPMC/6pOe6/3+/QbxoNTPt0jZJDFIqtcgvG5eJVJZ7h1W6idFWHeHKc9sX0nGoCHO3vptrzvqDGEohwHSOpVLC63bne7Iuz1ydpxDp4Z5djXV6tnVFZjp3+9x/J5H4w5+Enfp+anl+ERr6aKQX/rKgurlMiO+Oc2dY9Obg2QdPbk1Of94BoPLxFOxzu6ZBnDOe9HtKUlKme84tl30qudsNZiMO+DHJbnlA75VJrh3iYr1/vb+8Btl1je8OfNdZscWj3ix/PQWTjt1WR9tAIh3hghzhFs7w+caHgld3Zqinc+8jQAJj9dUDvpFWtod7aObTASqFS9T7EojImKV4dHaov8i6kPb/1c+iGL//qx//HKs7n7yvUAXFocZ2PFL28Mow1YipfJlfKtQavyQpkl8/O9vlFl34RX0t1+md6U70trf4lSa/N2FU9MQSjXVBEHNvL3z/ldUvAmbXXKm4NhfGR75f6AYjyOxLb72EK8PVW/z3DVt4MZ2WgcLT18kH4jzk+Lm2gNqoxO+Bu0PVmhtc/fjKPNBnm8TjcbDrfuZWdFAZujj3nGYNSDdeVomfZ+3+rBWhfuj9e4vtc/o31w+Qr5pI9q89zbKc35/g1OnobYHD734gqlW3x5KS+YO+tv7rGH91Fd8gBqnupQORPvkHP2PMXmfMnNicxFQRbnCBbd7tb5ah1psHajr/OKQ/dz/5oH5N231bnUi6E9mIET/tnu+WfOMrro57yy6n+ETs9WGbb9j8ObzjyH5tv9vO75yDkGm5f1FUPy034p4bE/zli+2ddpT2fcfZP3R1y+aYzfXvem/IuPnOAFY5t9A26xN8IwxNH4fs5oHPm1Xp8ijt6HSpkQJ3fXrxgW/Hz3CmMh9/Vv2X+JjQn/nfjMnhn8yvPdUdNYRJKnilCuqc07tOTNcazmf8GL1gaDs940/KzLsXZc7bHjfspYqUS2+dxul2zzCoQ9dVqH/G/95l2rMyu4edo78T+2XKe77NXUYLRCvnlJ1o67OIfBAOKdU6iUGcQrUdaPBjjs+7701wc58ocn4i7GSwO/4jks3Obb2zhUMPGAV0r7/2JAccqPbeb948xt3mn5zhYHj8e7WB+HvXWfVnT/hQP0V31A48D7DlJd8iMf1v24Rk6uk53z47FhQWcmzpeczAglX/fkxjTLPa+ka2Nd1q/zt/36+THGzscpLKur5H1/bjd2Jwz29hlreLfA5Qf3csuH/KYHg9NnyWPFThEYznv3RtbusKftze7GoVGyXpyjuHGIYtqbzJ9sHGZQ+Dm80vVzstAZoRKv0snyQClOhQyr69vTgXp9qnP+QLNslFu+jbUiZzhh8ccW+NbDHwTgg+M38WcNv9HvbigI5ZoavuhZAKzMVCh14x1Vzmxs3VYrrK1vNwOrVZjyiby20WEY+xF7e6pUL8XLsj51ghAnEvea283XfNzD7HJ7nBtGPXAenpxmdW+cdzZWohLvUE2eb98tBbZGYouxKVaOxbA8skF+wkNk5j0rDOMo74Xvex4A67d0qTTiKHCrwqDuoVBMjFFc8KZk9f2f4shJ7y88VTtA8QJf/2Uzn+KHpz/jr3Mc3rLmTez/OPsS+nHU/OIlX3b0zXXqp+Jk6VqVohJHWYdQj9cMv6d/GyHeALbW7HLodh9hP1fex2z7OgDq77mPEK9ZtniZXO1Mhf4Z3+/Zv+szeOSUn55bjrP0LO+jzHuB5kdjQJ45T37Gm8y1/j6a5dg1YGU2OjEUwxStGJC9gYdZs97h8Kg3aU/1pmnMxeZwu+1/iIDi8hz5gk8mHzvbYHTCR7hHr5tg+Yr/vO89eJwHb/UuhXI+5DnHTrNbahqLSPJUEco19cgrNi/OD4zEz7UoSiNUJ72pW17dQ97qba2/erNXgXmvYO2Q//r2x2HvJ7wqqN6/3ZQeNDL6U15RVHJvsj60MM3+eJH+RKNNZyY2X6dHaZzdvMdeeesqE8tzLF45cfGFTTqxahu2y9z4R/EDh+59gOKL7wDgjpffD8Dzmie5e9k/EuAjD1+/Pf+wViIbic3RtTXsjI/aHvzwHi6Yz6P8/ac3OFr1keCnVS4yN/Am65GxZZ457s3q+8d98OORPU+jvlm9ttvUYvNx0GhQiZ9RVZw0NvZ7FbZ2fU590vf74E1zXLnsI/LXf6LJMI7Qjj7k1fiwuofKip+/+sdOYgd8/xbunGL1WByEyqAU76raWG9t3S0mn1+kNurnsz8yRjbwn8taqcJqw3+2m1cSTdfXWej4IE/tdJXGiTgndFhs30ey3d7uGlldhUu+TuPSBI0z3nXQOTjK0gWvQjtj8LHb4kDbC3hCCkK5pkIc8Rs/sMbwoL+5Lh4boXo5Xj53pUxlNd7OKoStz8oY1DM2DsV0KQU6p/1XuVapbI0ml9pNSiPxErG693Wtt2p8/Ir3Yx0cW+XGWf9ktPcdfwZjZ2M/2noD4uisTU/SusWbW70XrtFsxOtj/3KE4p6P+es//xmc+Wf+3B/c/wEAjpVWto5xbmaUR475pXG1hVH2nIqXfrXyrWZ3Za5FLd6herVToma+34fyHmvx+rRTK5NcankoTtfjlJGmQWwmFvPz5Bu+vfFP9yBep0uW0ZjxPyDl1Qon149s7dv4pThlaWyEsPkZH2e9qTtWL5Nf8tAczC8weMmzgXiH6tjnWm52met54Mxe2I/FSeHF6jr5ed9eo1EhmB/b+sCoVPy5m/2gp1f2sPYpb2of/Zs2w/g5NhTDrU/Sy6cmsc0PoMoyQrxMcLiwuHVJZe1Sk/0L/geic6DB+nwcNX4VT0hNYxFJnu2875qISIpUEYpI8hSEIpI8BaGIJE9BKCLJUxCKSPIUhCKSPAWhiCRPQSgiyVMQikjyFIQikjwFoYgkT0EoIslTEIpI8hSEIpI8BaGIJE9BKCLJUxCKSPIUhCKSPAWhiCRPQSgiyVMQikjyFIQikjwFoYgkT0EoIslTEIpI8hSEIpI8BaGIJE9BKCLJUxCKSPIUhCKSPAWhiCRPQSgiyVMQikjyFIQikjwFoYgkT0EoIslet/YhAAABlUlEQVRTEIpI8hSEIpI8BaGIJE9BKCLJUxCKSPIUhCKSPAWhiCRPQSgiyVMQikjyFIQikjwFoYgkT0EoIslTEIpI8hSEIpI8BaGIJE9BKCLJUxCKSPIUhCKSPAWhiCRPQSgiyVMQikjyFIQikjwFoYgkT0EoIslTEIpI8hSEIpI8BaGIJE9BKCLJUxCKSPIUhCKSPAWhiCRPQSgiyVMQikjyFIQikjwFoYgkT0EoIslTEIpI8hSEIpI8BaGIJE9BKCLJUxCKSPIUhCKSPAWhiCRPQSgiyVMQikjyFIQikjwFoYgkT0EoIslTEIpI8hSEIpI8BaGIJE9BKCLJUxCKSPIUhCKSPAWhiCRPQSgiyVMQikjyFIQikjwFoYgkT0EoIslTEIpI8hSEIpI8BaGIJE9BKCLJUxCKSPIUhCKSPAWhiCRPQSgiyVMQikjyFIQikjwFoYgkT0EoIslTEIpI8hSEIpI8BaGIJE9BKCLJUxCKSPIUhCKSPAWhiCRPQSgiyVMQikjyFIQikjwFoYgkT0EoIsn7v68zSO305lJkAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "best_left_block  = best_rb_patch[:, :overlap_size]\n",
    "best_top_block = best_rb_patch[:overlap_size, :]\n",
    "\n",
    "right_block = left_patch[:, -overlap_size:]\n",
    "bottom_block = top_patch[ -overlap_size:, :]\n",
    "\n",
    "error_surf_hor  = compute_error_surface(best_left_block, right_block)\n",
    "error_surf_vert = compute_error_surface(best_top_block, bottom_block)\n",
    "\n",
    "fig, ax = plt.subplots(1,2)\n",
    "ax[0].set_title('Horizontal Cost')\n",
    "ax[0].imshow(normalize_img(error_surf_hor))\n",
    "ax[0].axis('off')\n",
    "\n",
    "ax[1].set_title('Vertical Cost')\n",
    "ax[1].imshow(normalize_img(error_surf_vert))\n",
    "ax[1].axis('off')\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# compute new error surfaces (add overlap)\n",
    "vert_contrib = np.zeros_like(error_surf_vert)\n",
    "hor_contrib  = np.zeros_like(error_surf_hor)\n",
    "\n",
    "vert_contrib[:, :overlap_size] += (error_surf_hor[:overlap_size, :] + error_surf_vert[:, :overlap_size])/2\n",
    "hor_contrib[:overlap_size, :]  += (error_surf_vert[:, :overlap_size] + error_surf_hor[:overlap_size, :])/2\n",
    "\n",
    "error_surf_vert += vert_contrib\n",
    "error_surf_hor  += hor_contrib\n",
    "\n",
    "fig, ax = plt.subplots(1,2)\n",
    "ax[0].set_title('Horizontal Contribution')\n",
    "ax[0].imshow(normalize_img(vert_contrib))\n",
    "ax[0].axis('off')\n",
    "\n",
    "ax[1].set_title('Vertical Contribution')\n",
    "ax[1].imshow(normalize_img(hor_contrib))\n",
    "ax[1].axis('off')\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "left_right_join = compute_lr_join(right_block, best_left_block, error_surf_vert=error_surf_hor)\n",
    "bottom_top_join = compute_bt_join(bottom_block, best_top_block, error_surf_hor=error_surf_vert)\n",
    "\n",
    "fig, ax = plt.subplots(2,2)\n",
    "ax[0,0].set_title('LR Join')\n",
    "ax[0,0].imshow(normalize_img(left_right_join))\n",
    "ax[0,0].axis('off')\n",
    "\n",
    "ax[1,0].set_title('LR Cost')\n",
    "ax[1,0].imshow(error_surf_hor)\n",
    "ax[1,0].axis('off')\n",
    "\n",
    "ax[0,1].set_title('BT Join')\n",
    "ax[0,1].imshow(normalize_img(bottom_top_join))\n",
    "ax[0,1].axis('off')\n",
    "\n",
    "ax[1,1].set_title('BT Cost')\n",
    "ax[1,1].imshow(error_surf_vert)\n",
    "ax[1,1].axis('off')\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\lousc\\Anaconda3\\envs\\py3-6\\lib\\site-packages\\ipykernel_launcher.py:34: RuntimeWarning: invalid value encountered in sqrt\n"
     ]
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAQUAAAEICAYAAABWCOFPAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDIuMi4yLCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvhp/UCwAAIABJREFUeJzsvGnMJVd63/c7td6qu2/vvvfe7CbZ3IbkDIejGS0zI8uWFQSSksiA/EEIAnkJEiFGkASyEcMBEgdJ7A+BE0mWpciSHY1Gy+wjzT5Dsskme9/efvft7kvVrb3q5ENzAA5BOdRCDEd6f0ABVeeeOuepqvv8z1LPKSGl5JhjjjnmuyjfbwOOOeaY9xfHonDMMcd8D8eicMwxx3wPx6JwzDHHfA/HonDMMcd8D8eicMwxx3wPx6LwVxQhxC8LIX7zzf0VIYQUQmjfb7v+vLz1eo55bzkWhfc5QogtIYQvhHDfss19v+065q8uP7Atx18zfkJK+eXvtxHH/PXguKfwA4oQ4iNCiL23pW0JIX74z1HWnBDid4UQHSHEphDi77/lt88KIf75W45/Rwjxq2/unxBC/IkQoieE6Aoh/h8hROVt9vySEOKaEGIihPgVIcS0EOJzQghHCPFlIUT1zbzfHeL8ghDiQAhxKIT4r/4DNj8rhPi2EGIohLgqhPjIn/W6j3lnjkXhrzlCCAX4Q+AqMA98DPiHQogfezPL3wV+TgjxUSHEfwo8DfyD754O/DNgDjgHLAK//LYq/iPgR4DTwE8AnwP+W6DBw//f339b/h8CTgE/CvyjdxI5IcQ88BngfwRqwH8N/K4QovlnvwPHvJ1jUfjB4NNvtohDIcSn/5LLfhpoSin/iZQyklJuAP8X8DMAUsoj4D8Hfh3434G/I6V03vxtXUr5JSllKKXsAP8r8OLbyv8XUsqWlHIf+AbwspTydSllCPwecOlt+f+xlHIipbwO/Brws+9g838GfFZK+VkpZSal/BLwKvDJv/DdOOZ4TuEHhJ98D+cUloE5IcTwLWkqDx34u/wR8C+Bu1LKb343UQgxBfwfwAtAkYeNzOBt5bfesu+/w3Hhbfl337K/DVz8U2z+j4UQP/GWNB34yjvkPebPyHFP4QeXCWB/90AIoQJ/nu7zLrAppay8ZStKKd/a6v5T4DYwK4R4a8v9zwAJPCqlLPGwBRd/DhveyuJb9peAgz/F5t94m815KeX/9Bes+xiOReEHmXtATgjx40IIHfjvAPPPUc4rwFgI8d8IISwhhCqEuCCEeBpACPFh4OeBv/Pm9i/eHNPDw96BCwzfTPulv+A1Afz3QghbCPHIm/X+zjvk+U3gJ4QQP/amvbk3J14X/hLq/2vPsSj8gCKlHAH/BfB/A/s87Dns/QdPeudyUh5OAD4ObALdN8ssCyFKwL8BflFKuf/m0OFXgF8TQgjgHwNPACMeTvx96i96XcDXgHXgj4H/RUr5xXeweRf4WzycsOzwsOfwSxz/n/9SEMcfWTnm/YAQYoWHoqRLKZPvrzV/vTlW1mOOOeZ7OBaFY4455nt4z0RBCPFxIcRdIcS6EOIfvVf1HPNXAynllpRSHA8dvv+8J3MKb74eu8fDSLY94DLws1LKW3/plR1zzDF/qbxXwUvPAOtvRschhPhtHs4Wv6MoWJYhTcvECyIkEjQFRVGRcQapRFUViiULM6dj5gSqqiClJE1SfD8hilIGjkeWZhRrZYp1G10X6EqEIgUIhUkgSGPotXokfoQmVAxNI81SoizGqlawija1koJGSE56pEInQWMc6rT3R0RhTDVvkcuZ5EsGuiJJJGTZw82bRLiuT+yFSEVBVTVAItOEWMLDCXuJFAKhqWRpikhSNAS6rmHlc2iawDB1FEWAlIRhjO/HBFFMkGYYOZNas4qVT9BFjE6ERCVINEIXkijFn0Q4YxcQqDkTVIFEksYJMsso5HTsnEmpZKHqEqEIpJSEfkYYpAz6E+I4RWgqApASpAaKJjCsHCQQ+QEizciyhCyTqJqKpmnYlkWpnENVBUJkgCSOBa4T4HsBMZLyfBlDV7FMiSJjLBGTSUEkFbysQBoJBq0BoeuiKSqWaRKnkiTNSOMAVdew6hVK9RyWlmJlEamEQLEYjRP8sUfQd1A1jUxCKkCoKrqho2nqw/vqR2RJhq4rFPM5NENBNwQyE8hMEkcpSZISBAl+mqLnDKrTJQxDYqkxBgESCIRBlGk4rsTvT4i8CCWUD5+1ALWcQ80ZWEWDog2CDC1NkULFCWHQmRA6PsVCjmq1gGooaJpEBbJUEseSOMoYDlziOCZTNaxyAUPXyAFqKkkzSRCGD+0NI9JUQCaRqUQIUA0VXVdwxn5XSvn/G8vyXonCPN8bmbYHfOCtGYQQvwD8AkCtked/+Od/i29/vc3BwRHXr2+gCIM0EsReRLlS5OkPXWB+scLpCyWKxTKhHzE4GLG+3uWoM+YLt+6RL5b46M99gh/92RlmrR6PajfQJbhmma+7a7RHVb717+7y0r/+AnLfoxDlELpCdMnizMdfpLRU5SMfbTJfCVlLD3DCIp3I4lNf3OdTv/wplhZr/PSPv8ja+VmmL5jMmSmhF+MMBaNBwte+eJc//tLL7A1Vzv7Iszz7wqPMmirz3gR8jd3DFtdvb9HpjTg4aBFGBbJhiCozjJJJZaFEvaBz6sIqqvbwgceDkPWDMVutPu0crFw8wSd+7hN87Kk2q9o60949JtkcL7UucP/1Hv0jly9+7nXubO0zNTfH3MdewFpuICom7qvb9DYOGb9xAz1O+PGPf5gzz85iFFWyyOHO6x3eeGODmw/GVJtzPPGjT1Nxthl0J3x1YwtPjUhdk1wnxXA8VmfqdAZthkGIr0qwc1j5jDPnVpibmWZuZhFF0bhydYNbt+5gOhNmnjrJpb/3QZqzVdYWBHkxZiHtgKHTCnVeuVNk67U2X/i1P2LGVVhdW+DpJ89QqMwy8eBrL20SyhDj0jI/+fPPcWE2pJZ+k1QrsSPP8LnfWufGp17GGAU8/fyj2CWLwI85PBiw8/Jt2t0BfhCjGJJITygaJXIzFYqlHItrU5RFhiY1SApMvJCt/SM6eUHzxCof/4cfZnXe41n7Lie1XeI45Ka5wHa6wLevFbnyG1fY/PoN7N2IVNOIRMKkrGDN1Dn1wkUef3wJU4dI0VBUg29cvoby2deIt7s899w5nv6ZD2GcqJGfM8ghCTsBR/cHtHcGfOOzr9A97DH72CN84O/9EOdP1znvblPyIyZBytZBSr8b8drXNnn9qw/wHI8kFBRKRVItZDxxccb+9rtx3vdKFN4pqu17xilSyn8F/CuAk+en5eNPT5FRor1bJu15dNpjDqMxmQFu4vHKldsYt3Su3W+wUNUhUzGyAo6TMhlK8APKM3PEqoaqgp4FNAzQshgVh5IVkygmc/Pz2LpJqoUUDYtQZPTudFgXVyguTFHxL7BbtbhSnCVNdbpuwMufv00zgOnIIHRSur7EV6v0RQYkDD2X0Thlb5LiJDqkkuUnT3H+b6wxbwQsHzwgk4J6t0bpdIHWjsO1lzfYvtWhn0QUq3X0nMrBVovdNOPq1h5TU3WmixWUfkzLHdMbjdBWm+h5AYaPFD6uEChJFd+vEnRtwtEBzsBjc/8IozHN8mOP8/gLyzSXygjDwz59Ebe/yld+L8/+1S0++4XLbA1PYJYN1Djg/voO2602jeee4NIHn+XZ55tUWgf4XokPnvi7dNOUP/m1y9z49MtkMsBLY6KpImurJzn9zCqFks2DzXWuvX6fl9YfoE/K6IoF4YjBsE3R1Il9n+5XD0lnIsKTM6i5CjdlgYOdfcZBxL1XrtG/tsHUKObFH/kQM/MlHntuhmK5QJpoLFzK4xz1+cpXN/j8rwg2L8xQOXuKqlFh/Tt7fOnXv4LSmfBzP/0JnvyhRVTbo1wsEjkp31mpcvkb19naOKR31CXRAVPFH/uM8zr3P3eVQs0gp5qcqy2SZhm3hoeUghxy1kbr99GnZ3ndOce6vULJclCzgEV1llo/ZDAYMJY+vukzPVWnViyiZxrWWHL0uy/zq5/+OoqmktdMTNOk12qhhgmmnWen7eN/dh2zWkGrVclUwcjzcY6GHD5YR+z2WKiUOTNf53wpoxnvMWPvYuQNbFGkY8/StlJ2S33ujTcoWXmahRrlioVeqhE/GAC9d+W875Uo7PG94aoLvHO4KgCKULDzGvWpEsQZU40qkZ/RDTwUQ0UROo7rk7oeiqkSD0MMYVA2ZghCwWTsQpKiIJAoqLqBrukkaQZpBmqMJgWaUEiSFNd10aIIs2oQpT6NOE9//YhRe4QIQ8olm3SqRj6XZxKG9DZbLKVgZjbeWNLrZ/R7CToh0SRmeOTgdjy2ex5tN+Lc9CL1chndyLCtlHpNwcPETBX0ko5eFBhWiSDYIU4jCgUbwzLoOx0mYYIpc2zvH+IYIxpZAamnSDKkjEjTED+aINWAREh8RScSCiKTOEMX1wkIooRGpUJjZoa5eZuZGZMsGVNu5PEbRbYvnECZpFx+fZP1+zsYJQ0zy2h3e4RkTK/NsPjIMvmaz5xl401SwtUy7mjMuUtnuP/F1+i2PVr9LosvnOGRp85w6cWT5EoGi4+uUCs12b61x4OXD5k4E9RoSN42yKkag36Xwyu3cBpVdlstyBloho7bipiECe27PbytPotFA9vOYdkm1UaeUtkkiVUyfYLIFzi8avO56w9wxh1WwpNMGRob39mltdliplAhjkOKFRPsGJQxmAKtaFJsNLB7EaYTUyoXaK6uECUx/sSj+sgKw4NDxqMJR84BmqaQSxNiKyUWkkkEW7s9CpYkmbZIVZXYd1EE7I9GeCMfNVNRhUJzqszM3AwVzcDKNMqBR3rUJfEjDncOEEIQOANQBDnDZGfLo+tNUCyL1DJAEUg9B5MUt9WnkalYqkHBNMirOoaSomkacezjKzq+qRCZCnEkEVIjbxZoNKrUKmWseh5TMdjduvuunPe9EoXLwCkhxCoPo+1+BvhP/tTcQhIBxTkbLwqxZ2ZJhzGZdFi7sEapuYzZmMMPuwzXN9m/u4cXuOScdaZyeUaE6EJn3G9jpn127lVo6TXuNz9JzggpWwPSqInfktx86SrCMgjLEa49YX6xyfLaPLXIJMhS3uj3GW516X79JkEQEEzGqLrOjgJH2xvcH/XRv2mh/E6RVFdJVQ1DmCRexPDuHT64tEBzpckJC6b8NnbcwzJ6eGEbbXqF0ajOTqfDVWfCfthhbWWW2ZUSpmWQnz9BNjHZ7Lfpjl3GkcpoOKKS11BiSdAZ4ux1SMYp/b6FZdcoJioyMVHDHp39EXduHZA0K3zgZy/wzJNzrDR71MUW0/kBjq/jaRozJ6cZ9OfIpkq0N48oGnnMnI6badRXp5lbMag0XcrmfQpWxOICyOwWi5kkONugtlDF7YxY/ttP8rO/+FEW51QWzDZa7OKu5aguP0338Hle+teX2bu5TevaAMM0ELaB34k4au0QJVv4MkPoGhESYRVJnADLDSlrCsWpGaZKJeanp9DyGsLYomRE2KhkBZvnP3GOw9+/yb27O/z+H30LkaUIZ8zqQoO1Uw0WlksUNRCpIGdWiC2d6jzE7NF1fHKNCmuXTrL40WdYbdSonxywe2/Ca1/aYOvOLruvbJHPMuySoD3s0d3J8c3fv0oURZxbPYkyW6JUKpGmBlJJuXFrH2/XJ+3HrE7XuXBxnumFBo9dmodCjuthAl/Yob/eJd4d4vljFhbnqc1XMPIWJQqMx2NC32d41CZJEvYPh5hYGChMzzaZsmoUgxil46AKiVdVycyErozYyZtsKSl76x2qVpOVlTVefOE0pYrKzFyBNE356pe+/q6c9z0RBSllIoT4ReALPFxx96tSypt/+gkCRB5LK6EpAVmWEcYBuUKe2UdWmZpdobm2QJhUOZrTuR9CtzegfbiDOYmRpkDmM/wkwJ9k3Ll6hGmoLD1WQld1xvYUga/T6QY4nQAZSAypUa/ZzM7VeOL8PKVSCUcRjDbatDd7iG7IwWgPJRNM1cpopkbmhsg0JRpP8IdD4iQhSFJUxcZAwQqhbBQo6zq5JEWPFYQiiBSFgAkjLcMxDdxUwet66IrF7MI8KyenMGwVqZVRpIG8H+HddUj9hEgmTPyQWEoMLPQI4qMRWc8iCUz8pEQcWniBoNUZ0u33WDw/x+lHpplftZlPN5kWXRqyz0Y2RSjzBFKQSYFQEjLpY1p5wsQlS21kZKImKlqaIowCmcgI8NGUFMXSKBklAmeCqQsWzjRZnFWo6j3ms030xKGt2iRKDbVUxKoXIBdjKCpz0w2soo0fJ+RETBhG9B2PME4Jxz7xMCANEiqaja1r5DWLhIxUyZBZiJABRg7KhonnJ0zV4czJOr4zYrij4XsBbpKRN3MoQmPYdum3A6y8QFM14kgwGQW4rkeYxFQWpplbnWXutM3SnEWtdkhBq9EeC+KCyf7BhLQ/xo9H5LKUuD3i9ldeRVN0jO2ASd4gX64jdANNE3Q6uyQjHz0RlPM2tWqeWr2IMa0SFxOUVGCvVpn4GboqyJs6JxanqZ2oY5XyFLAZdW2c0QRTSOIwIfMEsZuhZuCHEf2xw8ykQjwIkXkNWcmRmCpBZDAcS9pHDqNun8VGldmZOrMrBUplydysRhK/++iD92zptJTys8Bn303eJBYcbCt47TG9fZd2u0vPHTDz7AUu/PAFmo0K8zMTED7B4wvMPXKK/cMeL/32y3ivbZDEHvLAQS9rvPRvvwxSo14o8+rsdQQ6telFMpGSygnB5gh1nFLP25w+McfyyQZLHyijzVtkasbs/irq9RrplovfPWK5McWlD13AbNpUtAKe6+O7Pq2dNoPeEGeSMDgaIqTAEDkmk5Cq7+HtdklbddKqhlu2iUs2BxOT27sj7tzYxN1tszq/yLMvnOWRxwpYuYxKSSPNNFYP8qxcmaK753Dn5Q3c0ZAMgaloqJOE0Y09kuYF+obFZi+lP3J57dYuV17fBEXhhz/6JLX5HJOkTWb6SNUjJmNg1+llNYa9hFFvQOQe8uTFBRrVBmquQbtjs9k64qu//Ro3vrXOpZ+8yNOPrFEsxihSYeLA9T+5zeCwy8oHHuHSRx4hE32y5IimHaJnEyJdRzM1Yg8Ojh6ws3WD5VqZs+dmmJ6tM7M8S5b6+H7IwW4fd+hz/+4B7raDJ0OiNMOLQnrDMXd2D4lzksZShZJmoOU0dD3BiGNMzWGpbpGemGN4zWOUuHhai912zJFzhDt2aI0dGtUS5bKF67ocPOizt9tikkacv7TEuQ+d5eIFwTnzDzA0k3j+PMNnatRrBvrdMb07u4y2u5w7ewo1b9AddSnkNNLOJt69mJEmOBwNEVJFkzpmmjBTrtAsFslbNpVSGbsg0fMpy7pCa96m1x7RjtssNio89dQa1ZU85akKui4Y9Rr02w5vXAZnNEHpOmRSInWd+84AgiH+rYDCogVRnelKkZZdpz1I2PtWn3vfuoPujfnE33yB5dNTnHpcw7YDGoUA6Rbfte++L76n0GqP+H9//WWS3ggpYX19AycJeOrcCRaXc0yVYlaMm5iig5lfI350icZijWD7PHc2hgxbIQszTSpTDVwRYqpgCZ/k7iFDb0xbvcZg5GEZFt5wzMnmFHP1GraZI2/ZSEvQyCdoaoC/MEXaj/nqYINyQ+PcqVmeujRPYbGElpMkvoLnZNy6YhLdgag1IiVFkSojkXH5cJvDLI9flEwvXcRYsgisKod6g9b9lHuff5Wtyzd45GSTj33wAo89U2fxZISuxeSyECObolSZx1ZrHNT7yKMx61sJg8Bn6HlE3Qx5NSEe9LCMMqNBwsidcP3ODVIki8sLOBOFdssgN9/gDb9ATvVIApd7rRxOpHLlM9+ge7fNydkaz33kUSq1GrXpGqZa4sFWk2+/scnNa/c4uNXljdOL1Bfy5EtVRuOEa5/5EktnLrBw4hS+I+irKwTGLF/2OijBhNawxPZuxM7t1xne2GDRqHDh4jIf+KGzVKfzVKZsgnAKzw0Qeo7O/hDjXoeBNySWkFbKJGS81j1g/aUxO4c9qsWLTFtLjPwMx+ggMDGNGr4zpL3b53pvj0xTWHjhPGsX1oiCCTdvvMb1z38dIzFZLE6RNzQYden1XbB0igtltLpkLX+HmeE6pWKddiSZMdeYlBW0So4gCzg1N83JszVmF2oUZ04jdJPBMGKw02fi+ty/s0vqS8Ydn5zQUbwIp+3iTWJ6fYdaUsEOxiwnBr+z73L4eovVM6dYXatz9oWT1KoC09Txw5RUSYkUiV1QCN2EceIQrBQpTk1TzxfwfZ9rgxbyj66wvzKDYj3PnUxhsONw/6svM76xxYnVBufP15iZ1ZkvDhC5AVkxoVRYetf++L4QhThKuH1jk3waYZomk8mETIecbUHqIRJBTh9jyTF6NKCsz5OYULMNKqZNZuQxKzZ2rUp9Ok8tr6JnCaJr0hp12J0cMgkmmJqGbtsoAjRFoCsqvh+SeTF2rCCzDDtJIIxQCwbNUoXltUWWlmcpLRYZxx3SIIdqpOgFk0QTjH0XPwoxdRVyJpECu0ctaod5et0hhZKkWNEZawbh0CNsOaSjCY2lJrPzNYplA7MQYQiBFsRYikGQ6hiqT05TsA2VJI7QdB0zp5GkKQ92tiD2KVoN4sBkEvg4Y49CJU/eLuK4EdubbUSiYNg2QkjGw4AH2y6TiWT9+n3ClsuZR6eZm5+iOTOLUQpRpcuyohNyiiDwcLZ9bn3zDfSKoDG/gB8oDDtDZqYzRs6Eg90WSV1FaDH5NKGgFri3G3C43mL32gaD/SNmrSqVRpHGbIVy3UQYMYZWIJGgaCoS8IKQBImSM6nMz5AoMHY7uJOAdmvEnVvbnF2bolYtYFfzRJFkPIzoD33anQnlxSrlqSpPf/w5Fk80SeKAM5dO8rVPX6b1oMPOVoecgKaZkKYpQtVRdIWElFjaDISKlBLd1CiWCxQcBSkypMjIV4osLs0wtVCh2MyBpmPZEWE/AKlgmzlcz0NkEjeJCRPJXqfLzEGPQJXMdk1EWSJyGaEXkmUZpq1RKNnoloaiSzRTR5cpqgYKgjCIcYOQVAiKzSaVpVnytSphGLN93aXTHpM/GrJ7v01cyxN3Q8atPu5oTGFpBr2goeUALUNVVVRFEHvvPkjxfSEKdqWEE6h0WhFkA7IwQjUt9jc3ORhXKRYVsqRPGveol6usGCGCDH3a4jDoopsJjz0xw+xcg5VzDdSCRRhKutsOubaKtW/CSJL40PFDRiF4I5ckl7AkMk7tT3FYmzBfNGg7Pnd2ujjdMQsfOEPpVBV7PoduJtQUi0EKiiHQDch8F3fkwHIZbW6alUsXCcKYo9YuN69vkPt311k5M8djH73IxoLD5S9/h97tK6zUi5x4ZIWpeY25WkxeaaPnUsK8RIZ9mDRxuzkebEe8tN/C/sCjXDx7iiefqKEZMVcOjjh8dZPt24eMbrdJ/BBJRBjCrZtX0e7fot6s8Z00xZidJlUFWs4mHPiEfoC1lzBXyLE0dYLibBl9ymdxTqDFExbmdaZqBVZnH+X+xiHVr7iMBwEHl+/i+gFalnG0voHT7nB08y5GtUimKVi1MqkAZ+wTbo1xD7vM5WoszjZZOzlLtWJjmBLNNun3B+Q1jdgbEIYOnWCMMj/D7Ollpl68gF6xSZyIB1+7jN8b8o0v72CnVeZPTDN91qZs2bTuunz6j19ne9ji+Z/+KItnZ/jwC2VWjAFSibglK1hzLzLcUvj8//lFJp0OR4M+cRZDqnDr8+uEhz5nZs7QbzxCQUZMS41JHBLFGq3OPgETTjx9kUc/sEZ9Ko9RACFUBsOIydBj0gs4NHq03R6JSFBPriB0jY3BAZ2Xb1K5XcTSYhZO1RnXFG5/5TU6t/v82POnWV6doVTJo5oBuZKNInwMMtIw4qAzYu+gT2VllbN/80Uqa7NYNYs0iXjk0Xk2vnKLuzce0P2NV1k68IlGAb03dsB3ObkyjTotiYspYZIi0dCkybDzPphT+LNgFnIUlucZHXRRRYqumwS+pH27g7sVMjHzjFencYnJSQhFBLpBIhNiEVMo51g5MUdzpsb8UhWRMwgjSRZo+JFP7GSkYUoUxMSmha+pOElEdtTGzymc2a5izddxdJPW3oDeXpucpVKtFSlVCigG6LaBDH3MWEFXFaIoYex4pEKjMj9L7dQysxfWiJKE4r7NdnfC9tGQoR8xNb+ME6Q42wPC/hi7XqZas1GKklSJybIMMhU1EYROiu8k3F3f4vbWNlkxx9pHznHh0bOcW4kRygT1ZI5do8718CrBPRc8Sd4w0UslFAlhEOAc9QnDkKjbIZag63nUVEUmkllFMF0tYlkmhmFQqtgoSptcPoIEiqWMOYqoIqR3t0pXuEz6Pmqc4eczvMgj8STpvsMw2SUEco0aUkAc+2gTEGFA6USNerWAodtomoauJigyxNZNPDcky1KCMGQ4GTF1dpHG2gzLZ2ZRChpKqlL0fTrbR9z4/Mu8dnWLsZ8w0WuULJOd+0ds7G1AM8fFD84zP1fkRH7MMgdIJaZFnumFMpqWw2jYBCMVgEa5ShAbtO92cIdDzj3X4LEPz5MZMTkBaaQzcQK8yQRFlVhVDatkYuY1VCMEKVC1DEXJSNMYx/cJkhStalM6PUeukCNrawy293A6fe5d3ydKVfzVOv7+kMzzyekauiKQaUaaSJI4I45TQjfCc33Gns/I95gtF2gs1agv5ilXJIpU0axZ1HFEEAQcXN5Av72PEmYUMgPVLmOpKkLLIRSFLMsjMkk8sYjDt3/17k/nfSEKUheERUmiT9CMlNMLC2Rpkd0HDp/6nz/DuaeXSf/BWSq1WeIsYhzA2EnY3dhBKiG15QaLZ5vUGyUq0zogCSLJZNpkONLppTDyfTJV0HziItW5GkEasnfvHp2DDuIzV/hwcImZxyvc/Pom21+7yXzZol4tUMybSCmRKEhS0jAhGkW0OyM2233MUo3Tzz/K7KVVFh+bxhQetWSO3SdW+PyvfYW7V+5g/NFt4ia4613mzDInGjMUDVBKOSKRkoVNstTC6UWkcY3fyOZfAAAgAElEQVQrLx/w7//gcww0yU/9lz/Pj32yTi3X40TyOnYu5VStzL9Zn2V2dZEdfYtEhJxZW6BydopC3sDSBKmv4jkeg/GIYXtEvzUm9BOyDOyqjgLEacJk5GF0Y0qKh1FxEbpKrWxTLhTR/EXqRZ/9B5uMvC7CrFBYrvPkUpF8pUDdSdhtDxlPItpjH8f1KPQzFCnQVJOSbWHmVMLoYeSnzFLUICaaqAzaE3r9Ca3eEDdwWT3VoH6+yemLGqoeULdMkvk1et05pK5z88tX2fv2bRaPpmlUbd547Qr1Ewuc/OAZ5s5ZVOwI1d/E5hBppZjZKkkaMgw9hmELxIjZhQonVueQqc3mTorTdfjN/+2PWd9+nJOPLLJ6ooG74XL/5UOyccTSTJPmnEFlukyhpBInCSIDU5ek0mM4HrDRPiKr5Fl58QnmXjiDUbU5rz3B3p/cZLzf47WX1nnteo/w0TmsLYdGoYDhJrh7PYb7DYy8IHVgPAzZXm+xtztk4Lg4Scj5hQYnT1pMzfqcKg4piZRhXZCrTNG48Cy/7w14cOMuRCkzaomSbTA5GHGwEeAWdLJSgZxq0j0SbB6N3rU/vi9EIQtTnN37lEoKq2tTPHpxCVNrcnoo+NatB9x5ZZv9f9rj9OMrfPBHLnAyV6C32WPjjV2WZpqsrdapzVap1ArkCjFpFCMlRMmIVHrc394iquSZObvCqR+7hLVURssbnHlwmsG9Iza+eo3f/Z3XsR6McW5uYG071M8u4O716JNRs3USNyWO4XB7SLvl0Gr1cJKQUr3M4qkpVk5anJ06YtXwkRlUyjlC41lmvzPNN3/rq2gtCf2I0zPTaKHCcKfHQc1GdQz8XAOZ5Lh1u4OXjvjcpy5jFSucfnKNk09NYdouBWXAvOmQU1XaccBMs4Zf90mUgIVTNZ756EnWHluiUrUQesbhgUu/57Jxy0DRBOE4YuJ5REnG3jjgKBky0KCybJOEeZbKNZQkJUtS1NTGGwvu3h/zJ9fXOXSHLP/tx2ks1Xnhh87hyxGL7ZDheEJhvYczCDBvH9JNQ4aqTxbpBEnGnfs7HHa6ZA2dak3DzmnYhsHBwRGOM2Fve0ir66E3Fli7cI7VU03O1l2Kao8ZPHZnVKqNIo//1BkOB226N9a5f2WHdkljPAh49CNnqE3NEg9KDKTKDfsMQ7lC4Efc6Ra4/2qXgzs9kt0DGgWFJ589x4WLM+SMMp1hha2jNndu3eLyb13lfnOPD3/sQ+zsbrB+7R4yHFBprmAZOoE7IYtSinmDyM9wOxGRozAYTxgGGdX5JueeX+HMh6YwywIFj+fnnyHoRPxbQ3L71gbqp6+xVKghQkH7IEJRE177zjpzzSoyzQiyjM76mDRWcCKJUqwwvTzH3FSJorbPQvIqDT2kpxY4mL1I386x9rFzrN9v47ohw2iEyAocbvapXDviQEo2cxYCk4P9Adc3D9+1P74vRCEOIvQgpVItMj8/zdRcFU0pUp+p42gW9zbWuX19nUzozJ87QcnK2Nvu0j3os9QsU64UQHkYWZ1lGWmakSQpaRoDGV7gI2wTu1FlarWJmM5hl/PM5CqMjCLDu10OXr9Pa68HB32swQQVhdANCFyfOHy4mjdOIZgk+E5M9GZapVmnUs1TymuY2Yh8MiKUkqnKKvWFIs21KqW5EoN7LTI/RKYPF+OEfkJrr4+ZFEhtQRTBxqZDx+szniQUykVKleLDNx65AgEevUn0MMhItVGEwHNcXG/E0lyR+myRSjlHpZaDnMQJUzwZk6+XCP0YNTckkR5+HGEULRICWu0+7VaffF4STeoEuZQsTvD9mNEwYu/okN3uPhQtzn7wFPOnZ5hbyzGWPpMVk+a1Iu5Rih6FuIUYdSJoZ11AAwF+mKJPIlqtFp12g7xlkDds3JGHHyQEfkIcScxcHsuyMHUNkwAbjzx9ymYZzIRizaA8VcKv2Tj3emiZwFANkjDBdSaMOhFKqjHEwEsUPFdy2IvZuHPA0Y1DUs+jsTDD/NIUS2vT6EYBe9JEb9rgTeg412jv7fHtr30bQ1cIRj5arCB9STgIIJQIRUGmClkiiQLJyPHwgxBMA6toU6yVqRYMCnZEjoy0muEKWD6/wDgIOLrvMPZcMlWidDQ86TFJbQyhY+kmw/GIUXfMJIUskWg5HWGoqEqGLhJ0EkwZYmt5xCREwyRfLGDZNoEf4fsRSuRz0B/gXblOKiWWVURTTUZDj25v/K798X0hCpO+Q7Nc55lPnmf1xDRPPjuHYSjEaZ5zz5xke7vIH34mY/tehz/4J5/m5vk1JgMHcdRHmy6S+Ql6AEHPxZQqaagyGcYM9jQ6BxF7vRH5ldOUZ0ucOmUxv5CiizbmtEm4WKZhP8en7ICDG7sUemCYVdbX+wSKyvp+n72DIQuNaUaRy3hvROAmuP0Yo9pEKeXQLJNyMcdcbsiSvM0kyh6u6CuvUDw3w+zpRUq9jE7YY380INKh+50hubsalxUN2yqTxNBu9xgEMeNum3PLF0gylc6OiswEvfwcLfNvEDgBR32Pa9d2ebB1QHWmxuzKDHOr88ydKKHpgjTJaJZN1MRgKztiMhpw1OuTf2yeZrOMvTBDmqbs3rrFH37lCvPX6+AXOPdEkULRpHPo8+DuPp//3GuUzk3xzMcu8cM/PEWjpvA4N4mzLgeZzaBxnva0jZdIeo7DYauDUa8izixi12poCLpHh7xyt0+/9Sr1vMnMzAwytkhTyWDfZTgckV+aJVUyCvUiZnyH6axDU+3iKT4jP8SqrtJcquPvVBlFd/B1i4kmuffSK5Rvl2m/vI7UFHJTVTQ7TxAE9Ecu3Zdvoo0mXJhb4NTSCvOnZqktlzHNgGlxwMlY4amz8+R+z+ONq/us39wnGA8xMp25Yh1zbJG1VdZf28MuahSqNp6fsLnZY3PjgKP+GGuqwfTaAgsn5pgyD1hK+8xxyM5UnXZF5fyPLqHO5fjO5gB38whhqNxstZEtH3tb4dUrD6iXKpyoTBE5MeMoIXRiDM1G5CSanmIoMfnEJ48PeoKdxtRNi3KpTiAyPDVhUk5JSgq+FnDvXp80lWRhBplAxiFZEL5rf3xfiIJIJU+dPcmpE6eZXSxRqMVo5pCCdYRzBNOPWeT181x5fZ/PfOY2L//h19EzjVJWfPjgOoJ7l3cwTEFjziaIodf3WL/bZv/ogEBRWFlbYOHUIlbR5Wzaop51wDJoTVn0P3SWx8MLFGsFdgZXceOIVMmxc/M2ek7BuiZYm15kLl/BynSiKGF45KDaOtgCxUzR9BQ7i8inPoau0M8ePjilViYTJoHIcMyYoGgiKpLJxCG655OEGTIG0oQsjZBhgmHr7K/v0zsasHN1m/KpU5g5DcXQCROB40kOXnoJvzfkqYsLLJ+sUTuVQ9MiNE0gs5Qo8gmCMf5gyFGnS1LN88hHHqe22CC/toDUMlY2l9n5vVdwWw5/8HuvMBxcYHZ+iivXNnn96i3GachzP/kBzjy5SMEcY3gBqdXGSA4wRQVFnkIlxQ/G7A+PaIVDTj7/PAsffwyzWULTdUa9PoffvMfVb38HdjwW7nZoFhqEYUgsJKP+iMraLFrsomc+6CpSVYmzCA1JQdUoxQbuIKTdD6GUx6yUKRVyaAiE45K9keDHEbvJPXwpiKMEwpiqUJmulFmZmaJezqOWcgh9glD7lHMjynqTrip47pl5Zps1/mByjcORhzf26UQKfc/h3nCbs6fWyNsaM80KSJ1RN8I58nAnIXq5glWwUEVC3fSZFj0a8QMcBQLTolRbYm55Bnu+Tq6kUZkuoTanyGREMBpx/8pddg+3Odgc0NRtdCuHkaTocUTQH+I6Maqp0TVKCJGjH6qYoo7iWmxfeYP97gBR1Lj4o0/SXG5SqRaxpUHqw96VFv2tFq07d9DNgEPPeVf++P4QBTI01UdXNTRFJSMgzQI06TA93UCmCr0pWFuuMNes4g9c0iglC1N6/THoGaqtYpiCMA3JpMFo7BOOIwI3IUWg53R0XcNQEwpyRCntkGUGY6VMJMaUG0Uq01X2yha6MJk+e5aBW0NVwWm1ORg7eF2fGbuKJlREJhBJRhaFpHFCkmSEEiKp4yYJEoUcFpkvcXpjBmMHpWbRPDNHtVEl9gLMTMfvxQy2e/iOgwzGBImDYWiMBj3c0RjloEX/qI/QNaRhkWQqUaQQ7Q1RkoCKbWPlDHRdhTQFJSNLEiI/wHc9HDdg7IfotTrTJ6aoLtbIzyoIJeNEbZ7C3hn27xxy+/JVmnePcMZw794Rg1GMtVTFrFWIdQ1XmCiqoK/UQY3pUSBLIQpiJq5H33MYpxH52RozK2VyjRxWTsevl6iHKwxHLdyDHu31Fok3QhUSI28Q+gFZ4BFOuvhBDS/LcFQVQ9HwsEiwwVcYHw5w+0PKFYtqs8TswhS2pqMkCblIwfE96PbpDSeILMQOLExAlQoyE4BCHKcP4xS0FF2RBEGIlDr5oka1nqNaz3EQh8RxjF03CLWIrttDbpnkTRXX9bBFnthTCcchcRijVRQMTUWVGTlVRSEhVSIUBGqsYCk6mshIBcydXGDx9Dy5xSmEIvEGYwwjR/ugzeRan/54jJ1FkESIOCIae/i+RFVUxkYRXSR0U4VJqDHqBvS3eqimTWWqwtmnzlJdqVKu2WiJJPME2UiAFzK8A9VChUN+kEQhg0E/YXvzAamYorJapVjIk1dVkigCMgpFwdrJIk88tYh/MKDjDYhkwgN3yI3JHjd7XTQ1Y65uMVOYRqYqQdfD7TukYYadMzG1jOlCkaIWYEYjYiWPTYGyYlIu6OjWgPxilYW1GdZefALNyEiikO5mm2vfvsbh7SHt3V0sCZku0RUdf+cIp+UymC9woFcoGAuM1YjesEBnJ+DOKxsMb7QJhcGzP/4sZz95jlqziKmqRF6I+yDljX9/mda9TUYbQ5ZnFpl97CRRLsEQGYzHOP0QNw5oH3ZI/Bjpx+RSi5KlkQ1c3CODg3WXhUYe3RB4k4TuUUj7wGOz5dD2JWeeXuP0E9MUmzqnmmOsZIIRCso/tcrGQYP9pM1rd+5z484mh60jFF2jslzHfb3FbiuGR+cw8wYPZIW+O88LmaS136e12+Nof4gnDYz6NPMXlzlz3sSyJ6xZAi1JOZotMX/xk/x/1L1HrG7peaX37Bz/nE8+N+dbWawqkqIoiVJLtKhuSA0bbsAJsNEzj+wGPPNIMw88sNuAuy0Dit1SS01JpKhiKLKKxVvhhrrh3HvOPTn8Of87Jw9uGRCMdqsasgT6m+wA7He2Fr79fu9aaziI+eCPP+DomzsoAgjDCTnNwD/rcPJ8Tn01IVdbwstV6KtVhpGG71R5eOeE4w/uUgky3nz7IrVGjaULK1imhJDE9E5dFq6PemjQ2+kwH8wZuSELzycae8SHEdMspHyxSFgpYeXzDKcaxbyFpiooooOtSaiRxzAaolVMWrc3UMslBqS4nT363T7HB13yikFNLzELEob9GWsbEfh9Yh9cIkIUYsUkQUVVLBY9cI4j0mKZ87/xMpXVHNXCFEVIKennOX9tiX5vxg9/7xHdH9zHnffRDInQ8ehun7HzdEzzchmx+hayEDKRM6JhnfbDM3bv3KX20jobL6/zxV/ZpG65aNkBfb9OkOhMT2TCicFdf87tV1d5tHP8N2IRfkpIIU3h5HiGvdZFsyVcx0ZXRYRUQ5RSZElDVSMQIsLIIfJcfNdDtavo1RxRlHHc6SEKKaGnIpQkpFRH9TMiLyBLUmRRQhYlxCQjkhMCIqI4JExj5FQkCxPCIEa3LRqrLVYuL2HaOkkYsVRrEXsxB2GbofeUYOFClJKGMbHrE/ohYQQeGq5gEKCyCEXmU59hZwxeimHbNNaWaG3WsUsGuiyzWMyQ3AwrZ6ArCoskwVAMWq0GSl1Fl4HxiF43ZOJ4RGIPf+6QsCB2E1RZwXdcvJnJYuyz0OTPSCFgNvWZTly8KCXOBHTbwrQkNAMsYUpZCYmcgHytQM0os3Jljd29McH8BQmnaUg2D3CeD4nnMZgmmApGlPIbdYk4jpnPPHwnJAxiJEVDs/KU6xVytogieJhZgJrElAsFVnMN8k2F9vaQ03dOSMOQyA+xcxqO7+LOZbyFxiIwWRgZoqwxT0L8WGPQ6eGNZ7SKJaolk0rZplazyBUMJGKyIIfpeLijCE9ZkKYBQzkgzCKiOCXpDYmFiOlgBWdiYEgCtm6TiNKLhqcf4y0SAj/FKFkUGzVqN5po5TwlRcTpKAxPC3Tv7+FMQ8LuEMVSkSXxs8ash+tHOI7ITJUQQ4W5pDCLBCQfRmc95DimUamSz6usqhM0IcDSF3RLInqqU2zk6SsiUZoiRCAg0zkY0DkcYVZMqg2dSIQ0lni+9ZyDp8dohszm5hLnV2tsqA7VF61WIjXDSyVExSLMJAqlHI2l+ufG408FKaAp7Mgu3k6H44lLtWnjtiw0z6BclfF9nzTVSYKEgmzhGylpXeDiV69QubKJYhm4sznOZMbeR494stNB8jPKeRsnAjmKmQ/36fcy2uMGGxWLNCuTRDquUCCJ8pzce8jRoxMufuk2579yhUubM8xsH1OVmC2XcPXLKNU609GcuNNHi4YEXkZ7e8DH7zxhPI+Q/9FVBkKdSE0Z9OHud57w6P17NNd0yi9v8IUvlfhCdR89neMLLif6JrvVHFJBYp44rL92mSuXWly9ZdM6VyYRYDwuUTiYMOxNiRYLxk7KPIJZ5OFNI8aPzzCOu4SZxPjCCqYqMx9N6fY9xvMAbzDCzhkolklOEzCEMevhEflsgFRUOPDLGHKe5qUWe+88xnOmEIXYhsnh/hHDwyNEUSL+A40Eif/iP3mNj20TTdbo9F1GxwnjToigipSWCpRLFsWszZo2YyXdJmaOrd/AiBwGlkT39RonX7zE4OiYYGeEIsjIUZGD9x+Rjmdo+Z9BenmNs0VKsoD2wZgP373Dxsoqm60ct96+SrmSp1Q2kSQJENGLCrtb+8gHIp3pjINRB6VVZOmtt1HzRU7PDjmYjfjmtz4k9l/j0oUmKxstpGhCOAs53J2zuz3i6bM+tSu3Wf7SFVa+cZmClbJhSIwma0zHKR/92RanD07ofrBPNfQwM4HxaQefmLNjl8q5VUK1jCzZLLJVxq7A7uNjPn7/Y269+Tb1lSKYIefjHnXhjBIJXukypmZxcLnKU0MidVUu1lsYep7tdsDdbz7C6Yek4SqZGCBGCh/8+Ye0t4+o1DRe/vIVrl/OcTX7hJrbwTAMEqr00TgdhtzbPaOyZHDhZutzw/GnghSMSo6Vr3+Jp+/f42B/gv2vnnJtcwnlF64yFWKSSGTWWdA+XPDhR7ssfIPa5XOs/OZbLF/WqGoSuDFhLLB0e4M7v/MRk50e80EHWZaR/IDDp8egGxz0L1OvXEPOygiqxTy0Od4a8vH7H9NavsCFq6vUV4o0pDMuZk8pCy6nyjLdpTUycYlP/8okmErktAIbuSa9gczBeydMewG1VgWzlmAYGts/PuXuu3dwhgPe+tobrHz5Cm+se1xz36eoKZy4ICl1DtIS93bPGM2nfOWNJS5ca3Hz1XModkwUJVSqecJ5gjMLiOKU00kPwTDIvXoJWVVxHIfBYsaf3H/O6tZTinqOzcoy3iJiPncIFwKKrWNbKpoCmgr5dIYtTgEFK5uQz8DK5RCSBEWA69eukS9aiNUcepqQhgnTnkfox/zFDx6wkq+jSxomCoNpQL83g6pKvlRGNsGSEwr4VOMZSTTHko5oJBlj2aTX/AIfr9fxU4/w6IRGqc6VYpP37j7lxDngo6JC7/mA/LKBcBqxu3XI9PkJt37mEhevtijUFay8jGSGiKJIFKa4w4w48pgshpy6PcSKydrbL1N/6xaBLrEaXcM/7HP8zY/4g9+7w+pylTe/9BpJfkFZVdh6uM+jnTZeweRrv/F1GjfrNDY8cky4KE8JyxH9sEAa36Zcb+D2PbLTAwxUglnEIhzx5Ie72OfeIFKWSDWb+Ujm5GDAX37rfc629njlC68xONimtlFGsDNUScYgYlWXMBSDrVUTIW8jhnMqTYtyrkAkzHj27DkPBh386VVyBYvMFejfOUKJIq68vkY1JyNKKVO5iiIb+IrBdFbnpO1z8vAZ85NjXruxSnml9Lnx+FNBCrIuc/6lVdKFQ9Cb8ezTPfypT/3SKrYRowoSTs+n011w3BmSa16keX6T4lKVQsGlIATYxgI/NVhcqnF4eQN8CW/UBQmkOMYdzJl1HE56PmvnighSipTpzHyJw/YRh2cd6ivncP054+mA0I5RiDBwKGUey4rEuJpDtTRQZTRBoFbOIYoanbM+05MeRw+PqJ8vIAgO48MJ4iIhr6qUCiZ6TiGWXOJUIlVVkkxGQMcZe8xGY8gi9LyMntOR9RdeBxkhCBlZlhBFETPXw0sictUSlSst7GIB3/eZ9kYcbe2y1z7DFuZIvoaBQhInhGGIlMTESUAaJ2SxQCSJRIikCJCKyLGEP32hxc/LEqtrdXJFE71pocsSSZAx0meEXoQwFHiyd0zeyNFS8rjxi2YjifTiBCWOiNOIlJRUEIl5YQorkCJKKbohIygqqSjAZ8/lskmrUWQRevR3zoiDkBW/RbTv0t/rURQNaqUytm2jSPILM9kkfWHum6YkfkLix0wdFzdJMAt5lq9v0LxSI1AiVvQS6WoZ5WjKne/1OOnOXwwU5URmtsb+fpvuaMzqS2+yer1EdUlkSZ6SZ0RdmJIIKbEI5WqBcdMCKyMSwdJ1LElh6Iccbx1zfXcDT28R2wmzowXDZ23csykls0wtlWjEEvVQQJlLxJpBXxMZqBIzBMRMQJQl0GTMgoyZl1lWbMapzsSZcra1R66URw4VwqFLyTTJ6za5eYAwgGm9hSDFZEHMfl9ge3/C9PgYeTGjWL7+Qlz4efH4d4b0/4BlWBJf/9oy/pUmZ8cDfu9/mfBpZ8bsmz+i+aBEpWgz7bVpdwdMNPiV//wNLt7YYLkVsGm2saMxF3SfHjri5lV6b6wRhx737/lUZJuVWo3+OOX44wNKK4+51vpZMiOPIEgMTqbc+dZdipGK3J1QGU+p9hXyRkRil5moBl0lT1LRqEyKaFYeybbQdI/SsorVzKBYpjMc88mffpeVy+vIssrw4YDcTKK1vELDrlKb+wx6BQ5LX6btpYyjiK1BgTs/+Aild8ZmvYi1vEy5VSYRU2RFRM0UphOPMPZx3Dnj6QyrUuTal2/T/MoNrOoLkZHoJZw+WGL/yXlGe10e3zsmj0itnMdzZ+DCuN9jOriAgMh+uU4OET2VcJwGnlvg6O5ThChl48IqN95co9zIUa4YCKaB64Tsl05xJj6DuyNcS2YynzKdTcibecQoIpu6uGeHTAZDBk6MJalIcoUIg1hsMhFtXMnAUXU0USeLM3IFhVwN6udEfnHtAscnXbaedTh47wz3dEiwCJj1xlwqtzBiiXiWkM4VoihDMkR020D0RGLHYTEJOGlPCDST6uoatcsF3rgoocsuWnZKXJXgn1wnLkfs3T/kvY8fsJGUmLXK3D06QW/mOPdKnfX1Y67VHOrRQ6REww1WKIZPiY1lWnYVfyWPtbzB9HSXXKnCtdo5zs4mbD/u8e4fvMvqxhqlcpntx9ucHJ2S72e0NpYwU48NN6DWmYBi01ZtTlom89RCjCScRZ+0M8O2C2y+vIRtBFzJN8k1NPa2Oxw8OCZBZqFZmFYR1daxZRPhLGPSm9EZi0SFPGeqwe998JDJwYDevSOsTEAMYuTZ/89UkrIM1ZxAWFFJIpvLr13jaLvN2ZM9RFkm80UGnQHd8RCtuoS9LJKvZ1jCiGI6xshGFIlwIhdd8LAKOnpOI4ojYlIKdoHp2GMycTm9+5TeG5ukuQwxE+ge9Jkc9ThfWaZl5Dmfr1JRTNRBlxAJ35A51aAjRoRzjzAMyRDRbJ18xUCQQbUaSEpGe2uHwXEHWVYJJwF1JYelW4RugDlRcId5JloRIp9psOCwF3FycErmzjEaBRJRQZQUwjhCSVOyLMP3fdzAx/M8Fq6HWs6jFy2W11toRQXTBAuZuqRhaGW6RpknB3O8TgfXl8hSiOMXApowTIkjgYWgI2CQpjJJYpAkBsOzEaZuUC6XqLfK1FaKKIKPWDKQTZVCo4Cia6xtrjGrVhm2h3TvbGPpBqIIWeQTOQtiL8KPwU8EXEknkBLcQKSDiSvJzP0IIc7IogzbNimUctRXigiCRCaGnJ2M6bR7DI47KIZBGIaQJYSOj+8qeDOPNFDJogxV0AjdmPnMZTZx8Dwf1bDJFas0Vmo08wp6kpBGLpltYC1Z6FUdLa8iCjJB4jGdTjFkGznVkT2TwE+ZpJClGQVdJUxiMqOGqFaQUhPNkIgTH1GUURQFyRKxayZ2EOCfdTmbO/RljfFwijcYYaYS3nzBqDdnOq6hCAL5nAqKjB8ZxKqNmMikQQdVk9F1lUKhQKUoYOUVGq2EwAuZt+eEfsjEcfCSDFVMWcx9hn0fJ5kjSBqRJ3HMjM7WIW5vgZyI6JpGFmYMJpPPj8e/Q6x/7mVkHreUTzheK2MsGVyPLyM1S4wPO0wenuDrA2ZZyCiSuHRjCU2eYwpHrJhPsZQMWamQZn3kTKBsxDTqVXZyOZSCiWCJrF1epuYItIdzds9Oeeef/9WLJlUmMR3P8HY6hFd0ppZK7/AUIyvhNCwStcY0lmireSzH5CRwKfgh8/GCxq0LnL9doFLT6HRDqqsmSRAyOBrTdSekkcosr2EFEc7Q5UQwiXrPSM81EE2dP9/d48HjHsNP2pTUGppgIfYXjLQepXNXGA67aIHMuCvROXXZb8+ZKgqNRpXmjStsrjosmxGF+IxIUmhflxFrBQrXWvQnLmffi+k6EcvlIpEvMvz0mA8/6LF+eYO0dB1FC5FFgcfbcx5+/JD9hw/5yq0NziGhvuQAACAASURBVF2pUmiWsMsldGGKKAQUzITqDR0SlUff2CR94HF2MMKZp4wePEEXoVIuI2Yq/fvHlBtXEOyESbGEZsjsTA22/Aw9VyFdeMzHHdzBmNXiGvmlJtderRPEQ+qvXaV9cZPs0Rnd73zIcL+Houq0Fz61kQuIfDo7RFRSCg0dVVYIFiGLIOPsYMx0IWHUC2g5CcuKUb1DcvSJtSLdWGHUD+kfjhgc9miUZKK5w7mNNZaUTQaTgO/9i4+IjMvc/MoGpfNXKSFRClWOMEFtEmFjaAJ66lJrrHLpUou1iwUuFSzq3R6LT4ecHXU52t/F9WPEMEDI5/CHIs8/PST1RfJ5m/UrFoKm8b53QvHiJeRU5OCTZ8gkVGsF1jfXWarpFKpzys08N19dpVGucbTfQ3qyz/5Rn8BXePcnM378yQGTcMqFy3Uqlo5QyXHy5w8QEwFD1JEkiePdLp6kf248/lSQgkTIcrrHQSCBKEHOIjFFBDEhshxyBZWXV6/iRyJPP53yJ//z+xx/+Qqz//Q89XxIPlPZCyGUTCaUMDSTnCqgxyprjVWalyvUNyoswpDXHzd5dHebfmfCfBEQRAlSFuEPxwzikI/el9h9NqW2KdBaWeXAmdJtlSjaVSY7BwwOT5FJWF5tcunSJpX6lMZqyrkrKUvNBu9+6xFLgykPHj6n13cZzQa0x33iUCXJhVxbr7G0tMQfvvsdrKGAEslI+QLuJOTZ3QOOuz4PUwFVVhAjkaf7ZxzeazN53uN8vkRrqU71fImm0aalLFhKt1FFiSuiyL3mecpFmdnP1MkdFBgeDhlOQxJBwTmesPVnd5GPY2x9iaQoEUoi9//yU57deUbZUjh/cZmVjTI5K0aVFiAGmFoPWQhJ9QSt6aBII+KNNSoU6DUstjWJJIXIC5EFWDw6YLeao94qohcMkjRi1l7waO8ZarWGqJm0f7JFNF5w7vXXWL/ZIrcOjdKIVAbxykXOvnKJbwcezr/+Lm7gMFnE/PjDHpook6/JiKJIpVpkvdrEQMFzU/r9BbPJlOrFGoWGTSpXaWcmZ36F9lHM2Ri2/vg+uz94hBZFJILDrTcv8DOvXCUOJQS5wPd//IQf/O6HfOuPP+Ab/80/5NL5DTYrZWZxjxSVrY8ec/r0iN69R3z5H/wc128ts3JVplC2uDA1OVxZZvlgTPTOYz7cekimJFy73mSpUaPZyOFEU4bzMUfveoTzmI/7A1rX25iaTv/uc8o5i9W1JoVygXxRJ00XlBsS+YrFdHgeQdF5vnuI2jQpNBoU11aQRRHNd+mPppzuH2NmMsVIJ5YyQi1hms7Z25vx9Gnvc+Pxp4IUMiQ8MU9MiSi2cfoei+6EyF3QbOZYX2mxXC8ThCIjJ2Nr75BPsl3MyyVeeWUNZJ1UyRPEItOZTHvnlOHBCdVigeVWneW1CsuXy4RpwljP4wUhRm7E06dH+OmcvK5RrJhYBZMsDZlMJvhtAWcmsTscMF/zYVVlfjzCn8yxZI1SpYhhmcThCN0QQZFY2ixQbpRRERHkDMlQyBSFQFdxwog4TtneOWMxSWAQofkaURYzdWdEqUscL2CY4I8WyLKCgkp/4TE7HSB5EUtreaqGhhHGGEmIlgVomY8FmIJCNXRISFi3dKJCHowFM1/F82MyCab9Icc7e+SeSKjNPG6aMTuZIi4SKsUSxVoJu5wnlhJiKSZWHXRthkBAxU4wAo9MUii7Eb4bU5RkxEx44aPgeySpz/PD56R3QprNOqsr55BEBbfXZfB8j/joBMks43b3ERIJq2qh1nSy3IJqPCRLQmZqjrhewFoxURWRVJSwCjK+GxNEIZ3FC2PfcZiSxDq2oqLGClH8YrLQEhXkIOPk3hAnnxH6MZ1uwGAUc3RvH2ERUS3Z5Boaq2tNWqtFJE1GUnMs1HO43x+yfXTC/nvPUAbgNKbsnxygyBqnWwf09o7JpRKlkk6hpFHISZhaimDJDEsizlAnI0WzDNS8TnmjydJyhXOrOYLIJ04Tth/1mU9ClInL0Z27yGQIEyjUmoSRz2w2o5qX0FWLhAUZEZIiIqoKTpKilW1qF5ZYf+kmlYrCaDbj5N4eTiIzeXqMXcqT6RJKw0KVRYyFhzdY/L9nLPw/1k8FKTixyZ90v8DeSCUYpWz9q0ecPNymYcKbP3ubtdUm9bqNqKjc/IUL3L1TZmt3j2//1rcR/tE3qFSLTJwRs9mc2E95+u7HjA47vP3aDS5faXD19hKVFpAmHJgG08kKSBr3tvdIbJH6yxd59dY5WlUbXU8J44gn+wPOHj1n3J2w/ZNP2RFSVMlEckMKSyUcfwHAbGRQWVNJRRerpFKoleh05syUlFs//zLl5SVWLl9BFmbsHpzSe+cJk9MRWj+ldq6GUDMx8ipynKDOPdxBh7k7pHs8JHMjjHIJhmPKBYtaQcP2HdbOFijLGonpM8s0UkNGEk30SKbmSaz4OvuWyVCFSJGwSkWa6y1G0w5b7XtM/uAEK1fEVvP0tw5wJhOuNK8gWRZirUBfc8mKOeqWQzGbIUYZsWCS+hbCdAn2ZYQ9B3fkkruwSX29webNKropcNg94cP7O/jPdqmHh9iSjZIO6E47pIKIqVeR53MiVPbGDuPegjomBS1PLtHR4pQoClgMY1pLVUrVPOvX18kEicXUofe8z3TmsnvY597RFlKWohQtZFnEn86Y3H1OsNXmyR+/j5DP46QJsqC/sMg/3OfiWp1WLceN29fQl1PWLquUqgECC65dWWO9EvHp0ybvfO8h+nBEO1mw9emY0A1x3DmCIXD9reuoeRFdEdC9DClLIBEwMwXXj+mEIXq9zrWb11j92nlWljUu1QKW4yqJl3BhbZneeIz9QcbWe/tIscyW18eJSgxPBzz9ZBd/WGdpuY6i5ciQmfZOmY37DGceV2+/wRtffZ3WKwaVpsfcr1DI+UxzGj94uM/rLzVQdJGNa1VypTxzP8Ub+tx7/Pcw0SgIwgEwBxIgzrLsNUEQysAfABvAAfCPsywb//vqzEcJf/J/TOm7C4YHp/R/dBcjirn5xZu0VhqsXayyvO5iWRGxp7JeXeH1szy//YcfcPT+B7hFg7sfHhE6Pt7EIVACKqtVtJqCmhcxkwxpnhJJKQ2pwD0/xpVkppKEVa7T+tnbrLxeoZGPuGzKGIHIS9cvs31wQLc3xPjWXbyzmB3vCEnM4UQBB/d3eVI1KJVKpKhkSDizlNm4T2c4otxc4wtffZvKhk35vISmBdjbZY5GKzz5/oTN89e4etuiumywdmWZTJLp9OZIfsbB7il7UQi+QjhMQTFRIpnJ6RxdlRkeHWBtVJFKCobdJMPEXYiEY514Ak+eOvzbu0+Rcipv/pe/xtr1i6ytOCSywyKB7/7pDu2Puhzf2UNXE3RRZuf5Ht3vStwKDN74uo2mT7GnGs60hpHJkJuzSEu43SU+/vgx791/wk484xv/3S+wfqnMZjNBFyIW6UVOOr9E9/GI7/3OXQ66U5STEUKYsbRcI7UldGeNRZzy7p++T/lJk2LhF+m8cglFNOg/m9PbOWX33bv8zLXL3H75Iudv6hQrecJA4tGdQ04O2mhhxu7zE3KlIqs3LmLnNGRhjiEaSJnK/tEhk2mb2AnwpilCoqAyoWK2yBsS+ZJEeWMVuyqhayPEdIwsTrh9w2Bz4xxf+sJ1irkan9z5EHX8hE5vzHEi4AsZo/6ED9/bpn885tbtVfIlm0iA3u6QwUGPyWjAxhdfZen6eW6+ep1GwacgHKAFGakGm2ad4qRI/yhjW5wShBGW2uBoMeXIGXHWPqCas7n68g1Wl+qEvs/2o+cM+yNiKaZ0q07hqsnm0oyVfMIgtLgr5tmfdSi3DF598wZWQWP9YglJE1n4At2Dz6d7gP9vdgo/l2XZ4K89/zPgu1mW/dZnEfT/DPjv/30FnPmcBx/8BD8Ftz9GiSIMVca0VEr1KsVyCU33UZSEzJ9RKBjEmcntG+usLl9CJmF8NGUxk+kEHq4f4jkOo96crjWm2yuj2kVESWI6mBMsfLyFg5WzKDdqtFZWKFV1cpqDpsQookSpbNIKGgiomFqeQHCxxQIjL6Y7HLPzPGalZpFvzNjYaAAZ7bMJ7aMzFvM5asHErGoUKhLNUoYmSXQLBdxUIASqBZnmcoPmuk2jWSYRJGTFxB14WNYEVTdxvYBQiFn4HlIU4/V7OEpA8azAslNAzmmogk0Uy8y9gNAVCdyM/aN9BDNj6UKLSy9vsn6uwlrRxxVNZqnMy69dpyLV2e49ZXG6Rxw7hJHAYr9DudnmSncN25SRUhMxgzhVIEqJIp3+cMbh8RH9UZ/V68tsrhVYromsmTOU2GGu2gwXNfL1CpWVBos4JmhLVIplciULOa8QxQ5aJuFmCbNBj4c/ucsiLJO3SvR2+ux9ukfqQbmSo1LNUakomAWZOJIolAssZi6KJqPpEoWiQb1qUixZ2HYOUpHYF5j7VRAkJMkjc13SDAzZxlvEuFYIJCx8jyBQyGsBqhJi6xljNaJezVPM24z6Y2xLQxZVXCcE1UTTlBe9reeHjCZTwjR7MVQkZsijgGFnwmw6feG7mNMxCgGaNUcJx4ipRpZC5OTw5gG+KzCPwAlCcudbVM/l8COX+fMznKnL5JNndE4XaKKIO/RIvQRZU5GLOqkRIWQDBF8k8WE08Tjrj1mqaOSrBoWiiV3USElIRYF8yfrcgP67+H34BvCVz+5/G/gBfwMppEHI7MEOgieiRAnL5Rzlsk4+JxGJIoEgkBEgiy65okclt4RpzPhv/+s32d/1GQ0XvLK2zvbeAcdBjF2oIck69z/ZZnfnjPbpiHMXV5BkAXXqcvD0jK29E5SSSfX8EpdeatBaHmNlM9Rwgayq5LQC8pmATB5BrHM220GqLLHxShkhJ9Hvtvn9v/wYUZTYWFohb1ioUcS8M2My6LP8+ltIayliqUeFHlqkEQcV7u13WXgOX317nauvrLFxoYJqQxQlNFsVhp2AydDhwBhy0h4Rqhn2K9eQVZX+9Iyu49D/ZJ9yQSc6V0G/XkHSZCJB4u6PDzk6POC9hz/h6q+9yld//ee5fSNjQ9/jgv8eA22JHkXcV25SbLY4OhjijJ6TixXyuRqn3ZjdH+5SMsG93SBTBXKphecn1Jeb9KYhP/nLD/ngk4+IDI1f+4/f4OWbCmWpzSvSAZIzoqeV2a/9HIm0hNncxT8ck5oyr/z8yxRtkc31AoaS4iciD5+POTrps/3NH/L+/5miqjKWKeMv5mxUyhRLArk8FPIKiTRBkySWNptkgkio36W8nOfWy5u88aV1qo0ihZrBzIuYzAL0vI3+7Iz+2RCnHxJIIWNHYL7fQe9LVM61aJkCsbOCVqihiD4QkSsICElKmGZkuSJnxwc8GoWMNJPbX3mF2lIJs5BycvqczumY33/nfTIXVgsNqpLAbDbBVGSWN5ZZPreMZfQoaAtK0gyDMkEiEy1kpoOI737wCGdJZfXL53jr12+wflEgTBNO2iLTWcKP/+VPePej52gJ2NEYhRipaOK3PfxuhHWhBHKeSXdBb+cUp91j9VadxmYd3ZAwbF7kRmQJqRR+bgD/bUkhA74jCEIG/PPPQmMbWZa1AbIsawuC8DcqMRRJJC9pCKJAIkRkSUoYJyz8CM/xifwIIZORRBVNCkmUDFWJyBkZEglJmJIqRbxUx1N06qtLZIrIbLxgFs/48OkzOuMFOcum5EcMe1O8+QJrtUyhWkJSx2jqFCOdogs+kpgxdyLCQGDYdzjsD8kqOtVby1z64hp6SaHXqXH8oM3xg0PuPt7FFk2ahkrmj8mSBEWSSOMMSRBRtQwpUPFmAbPJHFlKsUoKZkFHs2REOSTNUlISREV4ITbyXNw4RCvnKVxexsqZCAONab/P2WjKw/uHRF7CcnMZSReZBhFPHrfZenaMnjfZvL5Bbb2CKe2gpT2MpIuZWViZBGIGIrjBgjgLUDRotPIIs4ypl/D07g6hM0Vo1jEFA9dLccIcR70R27sdRFWjtbZErVUhEQOCJCWVNBTFIEJBkDSSJGU2GrKYjKlaCo2VAqVCxvmLBXK2zMJLyTSVei1HNveIh11mgxGeJYAQohl5hAwiPyYKREjlF/mLCw9n4TLzfXJli0IrT2M5R76so1opgShiCyqSBlEU4XshQZaQaAJYOVIJJonD3uGA1HCYXC7gFlV0VSTkhZsWqchiHjEeyjzfnTJSI6oXVrn9y1dptCxaTYmTXoX20YIfscXx4xOGvTmJBkkQQJoxGw0ZjwZkPsiqhOipeCMddyFzdjzh2daA/nzO5tcuc+sL17hx02DZ7hERk6+uMPJl3N1X8HsSTmdM4A1QVIFo4TF41mVYLzK5XWQuyOyeLFh02mihS61RxbQtRCkhIXwxJUlClPz9kcLbWZadfQb8vxIE4enn/fCvR9EbpkY5Z9OedPCjmPksRPZdnPsi5BP0aIOqkcMUc8xEA8U00UyJ2WRBEhTpdRP+9/e/haBLvPVPf4m3f+Ey+YKAoPqMhg4fff+UH/7uhyTjNlYaY0mQpSkyCWnokYU+dpqSTySkhUW0sBiexNz/8IxPHp3QtxJ+83/4x6yeU7m9HqOkUybCBnvOq0wfJnznd+8w2B1x8mSbkuqTiCHDR23adwYUXikyaywx9Qo8/uQDzOmQzaUKxnKVxloLUQvQDA0lTJmMA7zIYTqdcnLaQbJVrn7pFqUvnidXznFbvcX0ZMDWu5/y4Z1tnh/NSKkhSALPD3f54M4jFo7HzV94heZKE0ESiMUl+mIeUY0YJ0XagcZ8EDF+1sd/dkStptNs5rn1UhUxruJ6Fj948BE7j55zcu8QMRLJsozhdEK+VqZ/2KZ1Y521KxeYjxMO5iU0RWcc1lCTgKOeyEFnwdn9XdofPaMamHz97Zvcvl2jWI3ZXEuIFgL5TKLUXGYxAy2GSmazc3RAxx0zmgbs9+cU7x/SO50x6J+n1qoQxzGHjx5ydDLibODwpV9+jcbNc+RWCth5E1IfM86QY4GMkPl8znixQFoqUlipUH/7Mgoa88Gch3fu0XnvFFUrIYo3MM2Y9TWbiTeAIEd7J+FHH93lz599wJf/yS/zymubfOVVhZLYZ4khD1ZVyteXkcu36D0840d/8k2OHj5CTwXyWoHDbz9FOhI43bjI/JKBEdSYnpXYm6Z874/e58Pne+SvVPmPfuM6rdUcV6xjbusfkyLzATXsXJnB6xt88oMn+D2foqmhmRL1RGfykxMedkMKjdcZySG7d08ZPT2hohnIqk2GR5qkZKGEiAhOhttNPzeo/1akkGXZ2WfXniAI/wZ4A+gKgtD6bJfQAv6dB6R/PYq+UitlQ88jqCpkuQLxSgM3ivCPTkje89h9PkbXf45my2CpqaOkM4JAgVGdd/7yJ7zz6BHhOY03336JX/2HF3mp2ccKR8wLE4YbNaL6W5j6efbvP2b7R9/HHy0o6DaDe2cwUAgurPO4ZtBUi1wdaZwNVD781iF/9O3vM0x9fvWf/iJfeDNPRfd5Wb9PWepzyjlic5P2bYPWp0tMp3MiJUHLmzSNKtOdIQ//9UPG+y0y+zZPdsfce2eLkqZRLOaxzCoZHkmYIKKShpBOQ9xuymA6ZppK1JY2uPqVa2y8UcMsgibFqLdavHW5yb/IUrYeHzD/s29TzdmcjiJmkwllO0cuVJgeppyIEW4FFLNKJnyZaW9E6Pnc+c4D+ve3MMcdvvTrb9E632LzXJ5iro7opazeTjieDvjeH27RPp0jpALudIAznhOGPpKTMnp0yhMtY/h8hUwREEyNKBGYD2Fw91PaT54jn4ypFXNcvWlx9RxIhoNRWVA2C/iewGJoIWQaEgazsUuWqOilJjdvNlAN2O71+WS/zY8ftllqtkiTCGkwwE88FCUkblQYtHIkekaQBWhpiiarzH2PMFN4fnrCZOZz8+d/FnUtz4Uv38I0EogCbl1psvfJAX/0O9/FcmD9SoPO0EHVNAb9Ad/+3R+wc9xm5eIqv/JLF1hbM1m3T8lxSiM6I/YuoCgZo9U8s96EQM1oFHLUCiUKdo39vsNHP/yEE+GUS28uI67VefjuFmeziHtPnzCXRH7xq1+geGUZTw1QEPHIEwGBMyeOFaaTmMW0QxoPWbtQZrlZwsg1eb674LjX51/+T3+MbZu4nSnWUHjRd+lMGOwMkGSBMKchCALtswE7u58vhv5vRQqCIFiAmGXZ/LP7rwH/I/Bvgf8M+K3Prn/6N9VK0xQ38LBXKxi1Crnbl5EkiallMd7dwzsb8OzBHgTLGJqFLSq4XsbR032ebD1jMpty+63bXLtcZ7Uu0zQjdMWjFGQoYko5Z2CWLJScjpgk5PMFbN0icRIWU5ePP97mxs1VtKrE0anLwdmMvZMT/CTCrhRpba4g2BpaPEdME9IsJYodIn9Ikq2SpjFx7COLCeVqDsXOowoi/f6A2UOH+K9iRuOYeWdMLlSInAB/6hAuAgQFvAgiP2IynjOehnh+gKhr6LaBXcpTKsiUzAhLCBBVkV4Vzt/cwI1jZve26HYdxjMRIU7xwpizbp/o4S6L4YxeUUIxdARFZT6eEPsBu/efMds5YEMzMC0dVZOpL5Wp5BSUEAKrhT7Ps3fdJ0u7OGOHeDrBQGIexZy2u8i6yjRY0N3ukSkSdu2F1Hs6cZlvt1n0+6xXCqyvLKGpL44MFVlAkwWCOCJJJOIoI4oFusMZnzpTlKLO5huXWb+0QmPJYn9/n5ODU7bee8747pCSbpFXwIkWZKmIlIqkYUqaSqQppHGM56Q4jsPCcXHDiFQWKZQLaGWb88sFDCNAiBQcX0YOMg7uLvPs0RlBAjW5ShYH9AdzOmOPIIWlVgO7VkaywCdFQ8IXBFxBxslipv6U4ajDotelZqhUazmWl5qIuYiz7ojjnRGRkLE209jZGdFb+MzCGLVcQDNUnDAhJaGjFBBZJs4EemmOSWJwuv8Ed9THVBNWN6s0mwVK1TpGvkqhXeTjw13Gz86IZyFFLIQQJv0pp/t9FFWiXMkhyjLTYcB87H5ubP9tdgoN4N8IgvB/1/ndLMu+LQjCR8AfCoLwXwFHwG/+TYXCOEQrmNTeusnSxjKFS1VUTSa5scruDx5x/GiHP/v9n7B/cZOXfukqpUaOuRty/84znp22sVdqfPEXb3PhwhKaPSShT5J2Kaf1F3Psakh/0abdOSJaOFx+ZZNKqYqolukMHb73zg5biwE3L7Yo9xOOjyZ8+uAu1EqsXNogt1qjmyVoss2esolJg3b6QsG2v3XM9v0HjI73uXipwOtvXcQs5pGzGh9/2uZkNOKvfvsO0tRB6kbYzRzCOKH37JitwCeX17ELNkEQcXoyYP9kQW+8QK9VqG0s0dposGwfsiEMacTHeKqF39K59g8uIizpfHxyiLPXIR5DPqcTZCJP9g4ob++TE1Wmig6qSqxohGFCFidoc5e6kuPazSWqjTznL61i2D5q7ilGCsulDZTA5tKvXsd1MjqPTsnZRSZxzPWr11ioAagy9UnCwc42syAgUnT8KEIJEgxJRBYi8rUctiUgxjpBnCDEMcnMQ1GaLCYho6HM9u6Av3jvE9KX69x4/Rq//PXz5HMeJXvEJeE88+lFnn/wNX70v77PePuYWX9AlCxQSzadJ6fkLAWvsIpoiqShQO9kRLszo3PWZxJEWI0Wmy9fIr+icNXeJ69PyRKfxbU65UaBhfZ1vvW//SEf/Nk+Nw82cfyE426XaO5SqZe5tHGO3sjATWWc8lVscQM7uMgni4TTicDTv7jDyY8e03Rj3v6lV1hZK7O0VuXlKM904vHdD+5x+PyEP3p8htN18Kc+uaZOSc8xeNjhuJwnX7d532qRBjYLJ2D7cMHCc9j7/ffJL3yuXV7ljZ+9jlZQ2FyvksYaQSBy4V2D978l0mPIoh+QLARGT55z4jmokkizXqBg2Yixit/5e+gpZFm2B9z+d7wfAj//H1IrSVME26R1YZn1SyuU1wSyNMJqVrDDq5gaPN4bsHPURXlkU+9V6U2nPHl2gqwYFItlwsxgkSh0PR1Dq6AlGWOzzl4gcjZa0Ht+iHPaplErsLxeoVzJUywvUxsHdOKQ9vYRD4cu1dRg1Jsz8wOWTAtd0ph2F2j1EkeCxixsIGUe7YnA82FA78EhvZ0DktmU8y+fo7Zaoli2yFkV1GLu/6LuzXptuc87vafmYa1a87znvc888RwOkiiablme4zbcw0U6TidAgjQQIH2Rj5DbXHUSJIgbSIJ0N9ywYTuSLceWZVMiKUqUKJJnPmefac97zVOttWqecsEPEAYIEvr/DQqF5wH+Vb/393I+XDD5/pB0kRKKGWki4noh52dDgiSlWDJoNRLSRMBbQLSKCYMEUVNQdAWBDA2fXDqnGA0R5TyKVCJTY7SiglWrIE08gtGSrY02SVHDl1IqywgjTokWNlEQEDgLEi+DJEX0RfSiiiRJhGFEEASouowmB6gkqJKHIqeYjRyZkJKkAaEkkTdk2p0KYk1FNhRqToDQE5kvffpzh2QRUggNFAEkCUjSLz72BTFhoqNgEK5i9FyF1WLGsO/y4sU5E3/Bu7df4/XrZW42fXLKlJo84Tk6U1NltlYht9NmZk/x+ifIKghpwtn+KZomc9jSKFs5TCFkdG4zGX7RTIWqYxSK6JZGzoKqatPQpmSJy0jPEyhV1I5Gab3G0hnSfdUl01Q8J0BOIA4TVrMlzsmceGmQJTlsUUXyRJ69PGEyDBh9cojz4pyNZp3WRpXWdoXqhoaQ6rQjkyjb5nlB5MOfvyDwl8SeSxpKOOMF3UdHBEmMXjTJNSokqYjnhgzOpnhuRNoL2C41aZdrWKU8ek2nVJMJIwc9ErlxzeLoSRU3WHF+PsQRdbJFSDI2kYQE13UpGjksMUe8+ns2JRknKUajw/bFIhtrGXd2XMRszs6gSAAAIABJREFURmoPaP9Kg/WLF3ATn4O7x3z4o3tc2dliuLDpjqc0a0XUTMV+OmfkmCzbFnbtdRLfpTseMpw5nH36lN7/+XMsIeHdX/86b/2DXUo1GT2XI40r7H0tx09+kPLsZY9HJ8fEtocoCYTDFWPvkE+cgMqFFkathCQqxGnGoGfTHxww/+kjKkuJdnWTW9d32by1Qb0QU6krdC4mhG6VorbLk/s+P/irn7I/CxBdgWjm0ep1MBXYLFcwJQMhlEiDFH8WorZldFWByKUgKxhZipz4GJJJiRIFQ6dU1AijDD+K2Vqvc/l2k3K9gpk3UAWIPI/OxGM+X3H4oofjL8nSjFTKSNKAue0SriRGJyvKLZECJqKckFkOiTAnZ17CtufEQohVh631Bq/dabJ2qQqygON75A8sHDvk6PmQ8UBhdDzHD1IEIWM0dUgEGe3lC2qvXaecVZhNypz2p/RPpnzy4Sv2z064+PUNfuf336GkR5SFVxSTKdaqS7mUQ1ArmIUcQWYTpwPKLYFGs0qt1OS4JzF8POUH3pK1Zp3dVhFnEWDbKauzGaZeodzsoGkZJTNDj09ZyyaQrHAzGRmoXetw+fYO/UDm0Y8+R5ENMiEFNcUdBUz++K94+YOHqDkDoWiBKiMaKqtFgjtfMH95SNOyuLV3jfXOGvVOjkJnwZrVQ0kiKuUCN67eoF5o8Yf/5gcohQqZquPGCe7DA+afPyP0XFbFEpGWQCah+DnERKaQy9jY20GvGhhWkbW1Dpn+mKpyiCoo5G+uIeSv8PxneZqbFzhTfSobdSbdGeHK5cGTZ7A6Z00rk7P+/80p/D8+SZLRqFfZ2GtTLwbUVp9QjsZEBZNMyIgVjdY/2EUqazw573P3/iEpCYkY08vGDOdTxvt9FFXFqFZILR1BlXFDiSyK6e+/oC5ZXNxssd1qUe/U0GsxtcocS04pWQFN6wbnR5f5o3/7c17YJ8SajBsn2P0RTnfE8Z9/gJerEurRFws9Yh3FN3HdE67evkmjUSBRNNbXdoi1QyRxn42Sh1iuknxrm707YGYSn2YhSVllS6lwOhkzPDzh+PPnmJnCRrFJpoI9cal25gTLl4hcw3GWLI0EVRQJIwEjVijOLcLDM14ezdFiiW+/scG7v3qLZquEnBcIE5XAT/n8s4eYPfC6Fp+7E8xCkd5iQi6UGD94xYAp21c2KXeusWW0cOUQq1BCVUTeO1swniwQRZHWbo1rb17i9tublCoqcRwSBBWSRGMyCND3l2iRBnmw23nkfIEgznhy3uXk4ymKBhc2tgmmKj9+9ITleMHx4Ql6Ncfl128RSRAqBs/iCjnBoFXo8NwtslxKvHr8lPn+PvJowRtfv0K1kmd9rcSt2KI39Ln75C73X+yzXd+gllp4GaymIjkrIoxGSHFM0yqRmAZp7KAqLl40A7GK7MvomoXteZiGipXJGAUTq22RSCl+5oP7RdWf3T/DCUJWroMUSsgIVGUFK69jISBrUKoYWLk5gjAjEyN21nMUDAH/m2s8frmL56ZsrtXQTRNBzEhWAd5ixelwxen5Gf7KRXRDxEyiKueR/RgthcBbMJ1kbGoRlmmiyxKKInMx0pFurzOvyVzZqZKvKhiqznLucv/9TYbPehy//5Ra8Pds7wPZFxtxZDIUIUUVMzQpRhFD5DhAlTT0fA41b6LLCmEcfFHXntfIDMjEhKU9RZAkpt4ST8xIEEDQEVMI5wvEgoaQxERpRN4yyBdTdNWGLKBW0SBUCTyZtc0a9mqJqMlYxRJZkmAk4E817ExnFszxgoDAiSBMKQgaSgpKJiCQ4jmLL6LDsoQpqYiiQjEvEWUK5U6R7aKJUNXoyEWKQZ3zgsaR6xNPPfrjCeVKHlkSEVKBMIjx/BRPtHBEF1kqEosFnDTHfOayGNmoaYahSJiVPJqpIOoCogKyLJJkoCgKgiARJimxlJHKUNyuY+o5/KXNyFkhdfuMj9dx6yayoZA6GaGUMRvPyLKEYjFHuVaiWC6Ss3LopkgcC8RxhiQJiKS4kY8XemSKQqFdx6xUMGQdtWzhTXscvxqQrkQCV2M0GuHaK6IkRUkykmXGdBSSWCLkCqSSTmR79OYJq1lE98kZ7mROydRprFWo1wusb1VIxRLFVszKt5naC4bnQwqmRBDHhHFAkkZkSUwQJ9grB62gImEgkKCLFkacIwskpoMZvuNi+BFWqYBlGTTaFeScQqYm5EIZ14sYTlYsli69kYAQemRJQs74op1KkWX8KMR3XIT5jEI1RddkxMhBlqBcq1Jr51guIzbWLfKlPIIi48w9FnOFAAhWFk4qE8YZYiIQuiGT2RSplBL6EbEfk/kCgqaSCgJkAaogYBRk1A2D2oUKum5TysOyqjKbbaLpJuP9CcHx2ZfG8ashBUC1NLTYR89CclpMUU6QBY+zwKMolTBLJQRthJDElFUJI6fTudjBWrdAySgJKmEYM5o69AZz7KVHOOmRRAklUaaqWpRUDT+NiEMXb7FCToZoOWiVErIgQldN3ni3jVyKqEgarZ02yBJZJjE46TMbBfTPVezZAjtwIY4wI5VVd4KY+Wy7RZbzGUqyRG4ZSDKIQkzeDJHFAsU36rzz1jW0QkIhDZF0maPDOve3mpw/OOfF3z1AnExRSVj0pgSkHDxfojTrzIQcChqSXKI3LfDhjx/z6qPHNMOYUs2g/dYG1e0KRg6QQrRMQlIzdM0kim36yyVqx0KtF7n0a99AqRYYjscc/ugzJuce0v/+AMYKa5fbLKYiY3/FJ+/dw5BFtrYadLZrVNsWal5CUDMQBFQpRRZSPH/ByeScqbNg9+036fz6HfRGEUXVWUxsTt67y70f3+N+0MNBJItmZBlIso7oxbz68UsGZx45y6C2WUXQJRZeyMlwQti3mf/wCcUw4PLNLXZvd2g2C1za09GtHH4k0rj2G4hbeX723guePzhFJSXKK3iLJYwEZqMFx4WYzUoOVWqSRHkmbLJcVLGfhtz78V3SiU1lI8/ehRalmsWV2ztU6nnK9QLDsxmz8Yru8YLZ2EEIUsa2zyoMGa5WDFwb577A253riFLK67ebqFFMEAQYioCipJSKIjevdkhSnWtX65hFnViE+SBhMV4hZqdMzmYss5BxtCDJUsa6xosjm/xEIcxnrLVr1H/tCpbaQFJCktQlDTKivE7twgZrTYm14JyOHjE3deQ31zhrlTjfH3J0cvilWfxqSCEDdz7GtgN0I2GaN5BECzGTCTKLyM8xfzCm+8khAT7XX1/HNHUu3ljj4s0NckWD1BdYLJYcv5pQemkx6E2ZRBnT6RwnCHl0ds7JcsKl4gV2rtbZWDdYt7ZRo4gwc1EUEd0Q2OjkSOMOa/UKjZ0qqZQR+hLVoknvbEIShEROzFk0Z5WEqHmDQ2eEcDRg+L6DlyS8datN3Wwi4CJKCRlz0iBDu9phbVumJswohSeUVSheqBMFFzBKJXpHQ1bPnpMTROSViHvs8ulfP6fc+gbSxTUyI48q5njxuMfTnz9kctSjpclUKxaFvIWiiYhiiiwKOPbqi0TnfMlgOGPs+2y+e53mTpuddy6Tr2jo8jbDrS1m53N+/qff58/+5i4XTlasShL95YzhvRP2CnXEZUDTMjAVECMRURYQo4zl3GExXDLsTem7LomhU7m2wZ13W5glibopk7ow2n6bDyoW46MZw8en2AcjBE1CaUmkUkB3fx/90RFhHJBqErEg4SQygq6TLlx2JIXrV3ap1AoUikUKJRNVXyCKA8ycROHWFpdyHWbVNs/CnzE6PqAcC+RScA8nvPqshxu0qFzcZV7aIMg8bK/MaBjx8G9/QpGIQJG48K3rbHcqtNsVbl5fx9QgyzzUXAs5N8GehayWPqHn4kkSWq1BZX2NsT3hMPDJfvqU4fmAknwL82qbMAyIqim+H+AtAipajoJVp9TJo+hftGrlVRl0nTCO6M+XLJKM9puvkStbiFtFFt0p87Mun31yxrE5o6SVuPL6GmZeJF+Q6fdsTpUM82YFPe5xS1myHpwzyCxGpSZpmqe8XeWx9P9ReOn/zeMvFzhBytLPmCcKMgZkOk6m43ki7vECr2tjlnOUtkrk8ybrFxq0Oha6LoJsoU1lZhMPXV+hyhJuHOOmCVqxxCJc4gUR5vmYw1dDFCpsN9ugZCQqpKlAmoCcxRQ0k1KriFnSSYmQkcmZOrIq4/khC9cn0jRyrRpyMwcIBI5Db+Tw4nGPes6kWG5QTlUULSaMFFZOTNawUIWYUrJiTVxQzwKmco5iuUKuqiMXNZZiRitvUbCqjNyI8/0ek1d9dFMgLYYoqcDZ/hmevQQhIVG+WCcnuClJlJIKKUIG4crFna9YrVYsVi5+llLu1GnsdNjYVLCMiJKaUL+RY1CJefWoSf/hMcGLV7iqxCoJEVcRopKRrmKWY5+oIRA6IVImE8cp7spnufRYLQMSZETdpNqpUqvKmDmPdSVDFAL0DZ3119aRjDzhwRBByiGZGtZaGSWno4QCSiDhuCv80MH1YwLbRl2YxFGAXCmQihmyKCFkKkImQ5ogCz6KopETpzSq0OhUWa6vEY5HMAmxcgaR69M/GBEYArujHXKKiZdK2AuB4alN//gV/iSgUTK5U62ye2WDSqWEppskQoQopxiySqtV42l8hBe7jMMFxnqDtFnGeucmVhTz4uOPORh5hPaIO40lplXHaJZw7QGSAIfnK0JLQ9owyGkquikikBCUM8LQZ5EuIcsQJDA2FSp7JcytbayNNkqtyOwXT5kM51Q/PiBXLFCoqdS1HJ+d9ViaOp3uCrEqMFVd1jSPNAhRsy7V4i65YgUk4Uuz+JWQgiSk9J+fc9j3CMU87ebrDHDwUhlbrPH4yT4Pf/RDvPMZb91a5+u/dAXLstjc7KBoEYIYMfeXlJoWqgaraMnB4JiJ45HbaZP/5k02qgX88YjD+wd8/zsP6G52kBc65a0SpZaFIrmslgkH3SW5chFZEylaGkGYIIsSiekzTqaEaYIbhFQvNtn6tWtEpSLVSofZcMbR+5/x0b0jjl/MEIQO1U2odgxGS5+Xxx7LwOdSUyWTXRRtSSmbUVFkNlvrGGzxQ6tKJMOl7U1y+QoVJ+PBp4f83R/9LWuPttm8scXifMzyaZ/VoY0RQauRoxBJ9A96rBcN5HIeW0g4PV7i+iHDXsjcC4k0i+29dbZ2S1yvjKlKS/LilNmtJutXJLrc4X17xfnTQ/KuQeBlVMUy82iFt3JQ72pIisBqZbBRaiBGAoPDFd0XY9xFRKorNPc22by8SUkYsSsM2BUmpKqA2anz4GYLQTM4+HOX8oUG9XaNizcbFMo69U4FwZM4OT5nNHYZ9afUVJve6RJRNJBckenZElPPM5sFqFrCesdCsGWqispccTEqOaY7Kk92ZDjXwbfptC7TTmXu/vw5896c40tlkivrIMLo0Stefvqck/3nXNrscGWvye6VMhubJmZORNU8EBJUVaTbt3HdkDCOGM9t9EKZrbeuk99rU7uzA0nMzk6Fox8/ZbB/xL/9iw/4XUnEKBi0LhtEvs3R0yHXX79B0dCIopBkGZPGMdPenOlgzvBwwvFsTm1ni0vffIPado3WdhE1jpH8bT5tqjx78IyPf/6IIPZor1Worhfppj5yK+JywUXVV0Rpg55jsnQzyosCySpEm85QqxbhufelePxKSEFAxJ8GHD04IltW2VhroZsCUZYyHtjMejOSJMHMaVRqOUplg1xOQzdBUjJEUUSJMuIkICMhihLiDLSShdWoUunUMIsGeUNiej5lcdjl+eEpl0/XCFUZ8gZCGjCfuCSJgCprKIpEHEYkSULkp3iOixRL9AYDZiuHC2s3KTUbqK0ylmliGaDd2OJxt4u9cNl//oqtzMILLezAwV4lSGKMKIMggUwdP01Rozx5X2IZCpiahGiZOLFLuVSjUJAxK7CY2py/PETPyYQzj3lvSuqlSKKM6wQs5w5BkHBy2ic/MyhWLbxFiG0vCdzgi7ttIU++UvoiWCVP0aU5uXTECgtRUCkUTYq1Mo5+jr+MiIB55CApKQQpG5HH4aseTmCSVlLERMDxQuIIfC9GFGV01UBURDQ5QxNjVEKSNCMvKRRyOo7sk8gZzXaeZjvHxlaJfFGnVC8QLRQWrosbCSxsj1Sw8eSIJAjxPY80K1JSEgxVoWDqCFlMJgpEcUzmLTEkg2ohTy5XRJQNilYe01RJEgEhiVlOZjz+xUMESUCWZU6fn9I9HtCs1ClYJrVGiWIlh25IyEpMik+WZmToECWEns/KD5gulqCo1HZaNC61KW5aCEmI2THIuTEyKc9+dJ/9/T71aomlFJCFK6bDkCxMiTyfSAYxiiAViNyUyE3wvRTyGpQ0rLpKe61Aq5GQF0J0DOY3W0SCx8nnXc5OJyShwHTuEdRzlAoJpgRalmDPFKS4SbAIWZ3ETAZ9hi8PEOK/Z9cHRVKoBlUO/+I54bU1ymtVausl/N6E9//0Y06fH5IuHDbXalx7bZ2NzQKKIqHqNmkWIsky5bzJbLzEDwMOez1GC4edb7zBhTtX2PutW0hqREFVeev6Dh9998cc3H/Fn/z1XXa31mm91iEnr1iMZtQrbdSmhCQprOwVkOLaKYu+QzxM6c0dFppI/nKD1965TKMjobFCE3Mkt9/i/zAcTn86570PPufCQRMjb+AkLspGjdtfh5zk4Ttwmm4w8eoEI5nZg0NOew7O2QsUUWDzQo2dGyaZItCo1fngp2ccP9gnPpmhCCrxNCAXKYiixHjmMgt8holLZ61KtVKirJtEiy8CUfPBksV0hb5eZ5XFTAIXw4iopSM6/iuiuE4QF2g0LNo3d1mMp/QHLwndCC1XRK/kydSUh/YE83CBqPtsbTdQZRkjyzGdeAx6U3IFk3KuiGGqFNWYguQjJUviMEOQM8xEYDmd0HUH/PrNXdY2Gty4s4GZU5FlgdlMJFYrRLKEE4ScvhogFzNiPyFRNISWTlJWKMgCNcsiWEyIdY0oDCnkhoiyyFqhxet3dlH6c8LPbTZ3c+RyFmIhpTd1Of7RPtlpiKzpzLszluMlYirQbKxTqayhyi2kNEFKM9IkJokzfN9g2lvR7zocn43ozxYU2jvs3GyyeblIbW2CFK/o6AYH+Rpb1/PMk5D3P3pANZen8ayIoYlYSo7jl12WS4mr16+gyCrdwx72acT4zONlt8/WOxf42rde45dek2lWJlSUMyQmpGKBC3cuoXSqfP7eOSd3H7Po24iaSFTMUz6cc3WtQlZKEB2ZgdRgMbE5eHDAi8MzDvZfcnHvEo+ejP9vWYSviBRUVebChTr3XxxwvhpzV3Io1sr4syXjz47xZzM21xo0Gx0Ms4MQ6UiSiJRGxEFKmKmsbJgOI06PpvRnC0JZpH1jjZ2bTW5fzJDSHo28iVdTMAtv8OzpDn/xr/+ak7sP2DgdUS/JSKlItr1EkTP0vEC7UWY+nWH3QsYHHk+eneHmJLZubPEbv7vNjbUJOcbk1TFpFjBvXOHWb7yJzIyjl694dv8VqqowC1foB3Vy5QoXnDpykHCeaeQoMD4e8aP37nI8GCMFIRf3LtHe6fDaL+1i5CVOywluLFPdl9i/P2TmhKi5EkIW4iYC+fUaaBknw1Oe21PkNGUrV6OlNpESmdlsQez55AVI5g5iTcdzCyylCj5FKmkCkY8pLMjXC5Q32swfdwmXE7TUxww1DNVASHP4csjRYZ/BykeUBWqxQd7M4cxXSKaCNxsT2guCSGSh5lmlWyxQWfgNjg59zg9mWJZFa/sy9XYZq1xA0yMk0QUxQ8/LFAptyjkNxQHzQcwondNbLlhNDRa5OQcvR8RBilkQ0LdrlGomZXNFHGuYuowzfMbkZJ/1hsXO7TKFkkJho86g5/DyUcaTT/fxgxQ/jEmzGNM0OT+aEoUiUWyyswv5goQkx4SBQODGnB/ajKdLJhMHWTfp7GzQauZpFmM2tC4KIxppTLS1h1jM8cY/vEM4nXL25AXyZIksQtxYo3eqIKp5JKGAKoo8vvdTJscpBy/P0Rplfvuf/So3b9fZk5/QllNa0hA/HRAqbR6LIcs4g5yCKGaoUky702bparjHHu/9wac0cgm5vEqWHjNeLHg+OKM3GlHIFSi+cRW+99MvxeNXQgqiLNDcKdHxLFarFcvHhyzEE0ZTB8kJSV2XrFnFWYWcnztUqiq6IVEoZfh+QhIljHsuth0wm7oIkoJW0CiWLUpFjaK2xAhH1FCZ6Qb19TzzqMTa1XWmL86IZktsJ0XTDGxrRa6U4C4aSC2T1bzPoLugfzxl7rjUtptcvrPH3qZJU+5SZIGaDYiJCWSPWMoRil88U5qEqKJMTpMRPTi7N+BZFqETIeUVhFDkrNfn8cmAxdKhtb5BfneNtG7hFzW0kk5+u03rPMVdOnQPXbzIZhUuKRRMcpZF+9oukiVTilqsRnOcyZTJbAmpjJzIOKFPGEW48znz7oBSXsS7KmBrIitJQROX5MUVFbNKoaAhqQqKLKLoGqEMy8DBT30260VMXcFelZnFLn4QIHsBmiqTZiHELqvlhHDl4ocCSy2HJ1SYozH3DE57A6ZjF1MxsIoGpqUiKT6i4qHIS4TMQFVExETBK+uUCtoXzVNJimjmWUQRZ8MJn32+z9l5kbXNBjlBo13QcKUmqS8zngs8v3eCO/So3rlAe6dGrpCg5hKsgo64VHBnLvOFx2l/gCCnLP2A/tGE0dmQLAiQ5S30koEfuuR1DW84Yj5a4boJSSyytFeoMlRGLo2Kha5kSDEUShpW5NBEpC2GlHSDrLPB9P4xRqjRLIxR1TaC2MHtrZiGGUs3z/75Cw56p6x/8wrNHR0hv0JBIwoDTD1i4TY48dv0lzqz2ZjVpEetLbFettjarLE/iBEXLuPBmK6ckVd9/EhGQsCdDFF8B62skR/3vjSPXwkpGIbOpV9rce11DSHV+PH3nuItY2x7SH81RctbTPor7IGLP3OZDuo0OnWEnEBOUxDDjHlvhLOKSEIF1w2odJpcFzU6y4iOIyFGC6w4IdFNdksyakfi+FKL0zjh9Kef4Z6YVCyTrAlJvI3pqwxeunSPUx4+n/Dju49IdYXf/C9+j72vryEbE4zAwRKOaVkqZ65Oz2/S7Y8JVjYz+5h3rmxSr5SRjDyH44z5o1d856SLF9nslQyGrkgaBgxHXSRNIUhs2olDV26SLDRUX0JW10kulyjHJay7fVZhhquGyGsNmq9d4OJvvk4+b1JWFOzxDHu45PO/+pwnH7/CEDXKSUo+tfBfjHj0Jw+Y79hUmxeZXG2hl2PUyMbLS5SMNqkwJ/IEVDdjLWcglVJepQnlQp5v/9oWkiQwtdvcfTbhrDdncLzipDsjb+awF0v6ns3zu0dcevMdyqnCaHVON3EZPfbofvqYo/tP2CkWKMQLymlMRbER5RWZlVLMN1jMRKa2iUqDw8FDzoYxWr3N9W9ssLOlM7Y97h+9ZPGTp9S+a9F67TLCZpGNbzaolxs8ff8nvHzvMRXTonl1j72rW6jSlI2tEo6n4Gk2jqKwf+8F6XKGUSsgluokWcjCW/H9p7/gF/v3yOfzXL94GU2QCKYL1FTG9WMkO6OZGWzEMuPeGYV8mZImoMsGciqyvvIphhLfaJiMG3nO3SX3aiaeC7YMUztGGkb8Xe8BrhNy7/4+p90RKTJ6vclgpeLbGmLJwNIEhrR5ES0YOiUe/mLIyYNXZNMx125ts73RYPPyJm9XdpkPbH7yyT6n9pLx+YRVr0caRghxiqgY2OOAz7/35Evz+JWQgmaqXLvcwp8YkGisbU+YDjzEk1OQIZMTYiUiyjKO5wPiZwvOhxMaGzXKhkniBaR2wMoJcOc+WiySSyU8d4nnKISuhqXIKJJEJRWISQklhfW8SZjTODNV3HmGmkZ4SUaYCkxsh8gOOe+NOO/2CZOUQr1KphkEosZCEpnrIqIYEJJyLgkMlwLT4ZJZt4+hKlQbBcrVIlqxQO3iGk8ziRfTEeOVA/aCWDbIoog4glRMmY4WiI+6TO2I4ckMVZeQFQkl1oh6HmFqIIgFKlrG7UsXaF3a4sJeDTOnYCkJ01KBaUlnfHyZweMzkoWLpIiULAtB1ZmGESfHPZ49yiEWm8z0HEqWkio6yyAhiVOEOEURBPKahlWvoG7WsPI51jerCEJCrpTgZBr5Yg416jJcTojChDgOEDKJVe+Ms8+eQadBN4OumxJOVthnE7KFS2VnAyUvIesCSCCIGYookTqQ+AlxBPPFku50QvnOLs29Hd789SusNQJWQUbyyGC6PmHwwx7Hzw+JjmOen1qsNVssjgeQOVQqRUqmiioKSIJMmIakaUopZ+H7PvOFjahJlBslyq9dwxBg6S45PHyBdzpiOV6Qk4bU80WSZcBiNMSNYyZLm4yQ/uEJ7YvrrGYaYmgikLG0PQgjiD0sVcfQvxgKM1SNOBVIROgdDlkMYlzJIwpixpMlKzfAzOeQAnBOHYRQZJxYuJrKIEp4NvGZLaB7r8fs/hkFQWRzvc36bp3mToFSSaVYshhmm1genL+wOVuGLGwbxIhcLkeiy2ii+qV5/EpIQVSgVbCxywqaYLF9ewPxxYTsqUhr6yqVZp3yZgdBkRhO+rx6/Bz3fIh+74Sbm3tIScaqN8UPA6Z+gOj5iNqcfu8USVjiXtihXC8RJyH5zKMQzJBFixstjbSvcFgpsYgyRE1mMvNwH5xz1F3hLVw8z+f5i2P0fJ5qpc7yPORcW5FEVexqGyFaYxYOGCwDzp8sePbvPmV5/orbe5t8/duvUW7kKXTymGqD9W2F5jSlN1jivbIZPd1nNOlRqzQQVJkoE3BHHunpIbMPD/AUWOgCwdJHklXC5YK8KHCnucbNUo62JbNdnKLkQxRtQblawerUOTrfplATiQWXC3sbtBo1jFyTs4nI6fmYH/zhXT4UJ7L4AAAgAElEQVT+wGT+n7/LtTdvkSxh2PNZ9Vf4wxlSGtBur5Nc2OTWv3ibTIi4XppDlhL6IrvX1pnaPh9lc57FdfxI5HgmEJMx/sUJo9Di5dqYcXsNVcwzvPsp85+9wkpD9i62EOsyofXFIJeayciZwXwk4q1kXj7v853v/5RHiwH/6L/+bXYubPH2TZW8/4pQlFh759ssZvC3G/sc/OUDnIMj4s96DMUBo/GIi1fXUGSRXOgyOZ0h6xFm0cKUDdLlgOlsiR3FrF3b4frb1+n88lU2m2VEIWZ0fJFnDwe8+vyIwS/OUVKF+bDHIgIxn0NsrhEnLp91Dxm9N+bkYJOa+g3arTJRzkHI+4RighP4+LFCJORZjXss4wRXTTkdz5CSHHbigR9hKhKpEBPGEi/e+zmjRwdoxTxmu4aoKqRkzLwQZyWQ3H2OPBpw/e09Nnc22bvSxNpwaRZ6sK2jXmkzSHLc/WhGtH8MSUxeS6k2S9Q2Kph1mePHz74Uj18JKZAKuLaCYqiQgr+KGE1tHDnj5u2b7F7bYftra+SKCnLscffeRZaDFe//mw+ZL1yEJOR41AddQ25VyVDoRx4/+ug+jWqRslqg8O4ukRnjlxw8McBNM5ZB+MXLG8Fo7iDlBcaJj9AbE50VCIYzTEUmiUNCXeb43mOmh2df/N7baKKVCyQoRMkCJxSxDz2Uu6+orxncuHiZvSvbmLUMqxlj0cOoaRTENc77MZ999wnipIFvT9m9UMUsmjS2qqRygBpLzEYrJrMlh70hYpiw8pZIsUfRNFHFgNRLSR2BcGoSRiqJJnPSzRgPh9z/ix8jLhZsN6rc+eYVNjer1BtloqxCb2jz4Yef8mz/gP/tX/0Nv/qbGe1iBSeLOfvskN7BMc21HMb1Ftf+wyvcedNFZknJsyESiBYWoqwhpRIb6zt88NMuczckzEnkChrDVOEPP3qPQBcxmh0M2UA+C6hIBfJ5kWTqEEcFQl/El1UEWWDRVxjPZfYfH/Enf/ITjqdTvvEfvcPv/UoHy0jY8T7hojEkUEyW3hcLfOtrVR6YCWPV4aLko+kF0qzE+TShu5oTRH/Nm4Ov015rUTIFvEWf/lGP49M+Uz/k8vVNLnzzAhevBuilA3JyzKXmguLFO1y5dYHzjWMGByd0hw9p3LlDeWeL6o0r+L7Lk3ufcnbviPnolIJYYu9ig/ULBSpNmTgIef7zVxx90mMyjFG3LnLz1h6/8h9/jaOnB8x6DoOPHjM6PEaLQ3KtGpGQkCk66dDG6c/oPT8myFIcZ4UhlViFCkXFpdpQqJUbZMiouk7e9Cjnx6DoKJFNTqnR3BX5cDQkDj2u3NljZ6/BxvUqa4UWf/jf/uBL4fiVkEIcxMRhhXAxJ4t8JsMls6mDqJlU1xRa2zr1jRDNcKiqKQt5B7u3YPrsOvHhHHs6IzQzjLJG9do2gRSxmA5ZHZ/COOTRwz7b6y3KNRlT1kj8iNXcY3Q8Y3busIokSjtb1C5UsSop7jRi1Y0YTBakQUSxoJMqIl4YkY2n+FMbezwn0GUyWSMnQJipLKYRbV3AMi00zUTWZHQjoxgNyBU8CvkZrfECsVLjzbd3ed6o8q/+4IjjtTqXXttj61s71Js6rtvlxeGK1dMJwZ+mZIcjynIFWxoz9R1emTk2f+kKweUqHVNCTUXc8xDn+YxoMMUYj+nGGqXWHvbrN1ne2KRe9dAzm52wRLT5y2yc3OI7/+v3+fH//O/pVKrUCgX6J8ds7azztX/xG6xfbbK7G2OkR1REkRESI9Hg8/kmT/7yGZ988BFCd0icVVAqBa6+sU6jXcKRYg7OdZanE/xzD0fKUPpzLOWL0tRoETA8d/ByMnJJQJdkxoOIl/05Tx/16HanFJtFti62iXSNVBeQIw1kjQSDwJBxvIjEC2C1RMtiYqGE72WEskRxrcjQHvKq6+N/+ozWsc1GqYmapsyHZ7iOj6Co3JBl6v0Jm+0NcoFKmsYETgHz6RHO2ZQnH33OeW9K6eoNdn73a6g5hUpbIQvyeGdVjsQjfH/FfOmzmGecPF/wP/13P+Fg2Kf97Wv8V9/95xS0JV/TjikoIYHwPX7xrdc4nd3g6Tu3+eS9Dzn+24+I7AVrjRbHi5iVVqLYyPNP/rOLbL9eoL0rcW7vsHBUho+Oefnz53z3z98nqiq4vs8/tNYJyJNWh9wQdGLb4/XGDm/8979P/+WCP/7uT/jouw9QfpLjrW9d/dI8fiWkMBjP+Pf/y8+wzIw0SOieTjk+PEDdqqDdrlJ4rUXTOGXHHFNTRtQ332Sui2hXm/zlg2fYzoKLr93B2KuRf3eTimbiuyH9n71ifNTlgx/ex8xUNi506LxWYTmNiUOFD392xPHxDOHaJb79+9+ktGVRtATSZcD5hxMe9mbYvSGlTpv6bhU5k6hV8whZRO+8j+eEnDs+zvkSORAorQKKzQqSIJM3DdyFTb6kMjdVxEWGFBaw5xaBLfD+B4/58LMnqJtl/tl/eps7N1pslA8pyj5J2qXdus3wyia10h1++Ad/Rn84Qpok6IbG4Nk59753H/9sm8ZuAUuXcCZTXj0bMxrbTCcr8mvrWDsdNnYLlIsBl9V9DAYEuk725nWsSy0end1m/49+xtHLAUHOJVQiiBOGj89YTldE7ia+1qBh5LDPxkwWIa/uvuDBH36HJAowKxuUru1y/RuXeOOXC1SrEmk8xpGvcdYTuPvv9jn79CmHL5bIkkO9aDE5mNH99JBMgAPTRBQNzvs291+cMux1kfMKlfUa+WKLs1BjIYFi3uA5NkvH5/mkSDQLePKDvyIbHbNR13hpB7SvXeE/+MffZHsL/DTlWe+AF987Y//ZhJ88eUilZmCIEEVLWrUKiiKgRhJZGuMvEvKaSeh4hGOJxcjncDRgnshcfmuPt969RL4kouXmECbcbt7i02qORw+P+aufPGLt/gua63WePTykvN3mjbffBF1AyKnMxIQYSP0KyDVcF8anXfpHh3jukDdeu0mz3WAnLDKaBRz3hvzxv/6Ynds7XP1H72LPT4lth+R+n7OPH5B3UjZ3a+TbEmneRUxCzDhjufAIAhFCg1cPX/KDjw/5bDxl82uX+e3/5HWu3FD47n/z5Xj8Skghi+F7H3xCQzdIwwAlSfF9l6qxRTUwsfyIcnNAQe5jOglBL2J2MseZO/TsBas45NaNNvXrHfa+sUZbBUWUcK+v0z8e8cf/45/zZx9+TPNxib17ZayCycJ1uXu4j1mr8U//y9/il99WKBVcPBTGixKjR0scYYnVNrnzxjbXb+1iVlQ0TSP0I148KdM9maP05wynKUkWY+PQX84whYS7d59htvcQ9SprBYPuoELWT/n0cRe7H/A3P/yYlR7x6//yd7j6eo2iOqWe9MlHC9LFhGolJinopLpHnA4g7bJ3tUW9WmQ2tRg8ntJ/OiD5+hbtmoWSJswHKe5CwZ/51K52UE2DkplSVlzK2Sm1tMsi0XhFi0y12Hm9w+pnHc4mr3CCkESD3vEpzncXyKrGY6tEVFbRMpk4VHCzBOfwlIqt0tne4rk54x//y3e4crnEDXWfphLi+Sc8ZhtF7CD9zrcotRo4js/k5BwnWnF8suDhuEuagiQriIpKEMZMFnPiMGKj3SJdxBz96BnL1XU0FY7z4HgqK0fg7PnPGB/36T485vLaOteubfN7v3yR0kaLCzdUtnMnxHHIefZNHl5KGB7Dd/6Hv2A1GBOP5/iJRxDMsLsz+ihUSiKFosEqCxgOZhy8GtEd9PFFMGol1i5sUWvbNM2MC2If2UjpXyySGpfIX60ymdmcPHzKYjmlureN0SxhOxlHXZF8Pk9fu46exay8GS8GCwYv+zz6s49w+11uXdjjl37lOp3dJkaujrtM6ffn/OX7H3H25CnH/RmbnU0yN2Dyi6d43TEXdpsUZR1DEgljnYUQ4Y114sjAdxTu3T3me9/7iAe9Y97+57/J137rTd69EXNL/bKbJL8iUlBUjWo1xpmKRE6KSQApREuXWW+Ftxvgix4BIStPwR/HLAcegRPjJjGpoqHUDKy6TqMU0MwcVFVm6Ig0NmV23rrIyfGA3timkAk4hfD/ou69YmXL7vS+386pduV44j3n5ns7kx3Y5HA4EiVM4GhkAwZkwBAs+1F+M/zsB78ZMGADBvziBFnOmGCORA3DDIdkN5vN7r63b/fNJ6c6lcPetXPyw6WMgTXUtAdjgFpAoYBVu7Dqob4Pa6//f38/nNBFNDWaOz1qV2walRE1bYqTVVioKmHmE4sRjUqFje0G13abFJUcVVKIwoLFpIY7z4gXCeMsx0kWxIqAkEsMHBfpUmL3skmprlNpyDizgmRY0D9zmF/6LOYulZs1Ki0DV8xR8xjFsNFQKAoBL09wwpCLk2NEb0lLLuj2GvQ6DXrNdZJnfS5GFzx7fIS/1sCSRRbzlJUbkUYpsvyCk6DJAroiYEgSJQqyJEdKQBRFkFOyLCHNM5L8RVxXHITEsUiU+6yCOWldRkhFJK1GqogU4znX7QYHkws2vnmV5raGZC0wvDPqIkRMKIlddDlHMBUSVSSVMvKqQmEYFIpAHIsvugX9mDyNSSIfSJEB3/cpLscsVh7lcYCiSFQbJQrRIMoElsdThscD1BjqpRK1isWVLZNKR6JtTOlxQiGlnPtlzHYHSzAwutUXvS7TGXZJJxNVQi9jOfMYnS8gEYjTlMlghbv0cZ2IXJRQTR2rXEIQJ2h5Sic5RSLH1XoUNQWtI9PYbuGenxFPAsJVCIrLYn/IsFLGs1VUu4JYREwDn/2nQ5bPp0yfH6OI0K3VqXcsyg0J2fSwKxq1us1otkPpKbz3cMJkKSOECdEswJI01EIgWHqohorrFmS6jF1UcZ2C5Tzh2ZMRpxdTat0K2y+t0dzWEPMT6tm/YdRpTZPY1DucxUO8JCFIcmRF5eLRCXbrBBEJKhasV8mPMg4+mjEZrxj2F6CYVNpdene36W1b7OqXXEkOEMmxemss2xZXf/sGR6cj3MfHTI9XDOM5QR7ReWOd9Z1tDNtDFedoOKiJQb7w2XvyFKtu0tvtcPX1dTrbOstsiYiIIAuU6waCltO92uJo75h0GSNe7WLcvoGtaMyGE/759x9w5VGda2sbGEqJo6Mle2f7uHMPs1Gl0d4knGl4SwPRXOMnmYUhF3izMc9GGqPzS/o/vY+NQa/b4bW3b9Bu2thVm6vvtplMbvC///4f8OzeGTtiE002CIqULMvwVmfUYhkhE0iikFATiMQCXwE1EVmXS3z/qM9k7pArBbtXOzSvbqArCiVDII1iZv05x5MJnhcRzidkYY4YZqT2BFU3uf7aXaxKlQyXUdGEuABBxEs7OEudo08fcfjxx6wSlzd+9ys0r3Sw2zZmJpEGBf2PBkyPBgwfPSYOlphlG6GkUQgparDC/cmPSBE4zCEICvK0QCks4pXDl25v0G5X0UoGTVXCUgtKONgkyIKEbOogF4SRw2JxRh6MWd+SuXPrOkmq8smTJYZ5wf5ljY21BoaispqFBPOcYB6TFxKaaaGqBQ25oCEHtNNTJDFhIpuodhOtJrB15wbJyKE//ITlcIg3EQjPL3j2R++RizJZpwNxiqZILCcLlEVAV9NY39hge3eX5noDvZzRW3MRojESGraxwUtXK3jOJzz85CnezKckaJSqFn6ccfJsQHVmI4sl1JKAGsLe8wsuB3Pu3X+IaphsvHqVrWu7WJUKTlbmOM6+sB5/JUxBkkQKAVZJRqrISM0KhShSDyPmh59wIAqU1xvUgiqrxwsuzx1WXshi4SIIIqZuoRsGsixiZh4tKaAgYiVVcckR7CrNjRrSxSVLz33RzpwViImEEOdoWUaWKWSySegpeLOQ5WhOs1aj3mxg1V7g2VXFIE8EZFlEkKDa0BmdOzixB6ZB48oG7VeuIWsa3rTN+fsrjg+nuJcBsmJw6cT47pwkyrBTi9hNWBwtOWtWqNYMSrZFUWSMRjonBzNmewumj0640bXZvblN90qDXrtEs21TD3SWy4gff9Rjb++M+XRFhYBcFojzkCwKyLOEmeOTSBFpQ2eVWYSSgZiUEEKV8ekcb+limSrd9To7N3toioSpyiRRjKlqhKLIcrZi7rpEQkYhZFwIArXSC/z7fBAT2ypDaYdVkVLkFS5WFcYzEfd0RD6cUC3b3PnSbRrbLeTaCyJY4QmICxExTPCeKwhSjXqnibXTRJChKhRE84AwzTifOkxHM9IiI1546BTIQkYYB/hxhF/ICIWMK+iMKCEUGn6u4Y193LMl2XyGKoSUmjbd7TLkFpq1zflgyJOTRwRBQL1UBi+n8FViNyJPc0RBQKbAooQuZGRiDkKOgPgiVUpISJKcIIwolUxS00Yqcow4xnOWBDEE2Qq8hBIlvDBET0G1VQxTI0VAVnREMaJIJoiFh6rotBomRV7n9p0ui/6UUS7gz3yCXMENJC4vZnj+i92MrIuImcPes3Mm0wWj8ZTuZg1B11nNQ+YDA6Xa5VC0v7AefyVMIS8yBvM5oaVS3lyj95WXkGUJfzHl7N7nOM/v0fgfemhXr5H6Pks/ZThZsjh32H71NZLAwVByLDnlVfETlERGlnIMHLQ0pmpu0Wht0xdPUG2HKEhRJZvgImHxwOPx05wNfZ24kfP+kyM+ff+C45/e4/rf/zVa1xqoYkQhKuhyRBrmRLFIp6Xz6b0Fp8MhozygcXWHV3/zDTbe3QZJoPAiRmsW/YdHHPzkOVGwYhkESL6LoMq4vkPwNORy7xL922VUU0NplIkQiXONWb+PPHLZyDR2N7s0O2Wamyb1lohlDzAUjXpU8PY/epd2P+STf/opq2f7WKqCLoosji8oWxX6lymbpTYPxQwZkxCDy3mJ6ZnH4QfPsKSEl25u8s43brJ7t4MgCMiiTB6LPDFlwkRASuAyGBImKaFaYEkiHjEnn5yBXMGs22iKQJEWhF7Os8Ez0vMpz//4hzTtCl/+D/8ur/3tMlcaCaZ3jidvsixkJgMRw5MJfuDxpbeu0t1osHP3xROtqaAwOp3jezHKwzFmJBPhc6JOKVKBSd8l0mJ8JSc+sekImyjKFrXyS0TLFfvDnGd/+BGj+4eUFy7tjQq/83tf59YrG0gKLF2B5aLLez9N+fPvfka+2mfdaFBpdZg6PnIcooZDcm9KHJdYiRlzVUUSIEpTSlEb23UZPXvE5XhBpV7nW197CaukkSYr3GmC5+ZMgiWL8YLlkYfoJkiShOhkRLMVupjTPz9na6eClAS0bR1NVRj4UxQt5623rvPseI/IkknORGbujEKsMz56jHAE4n2VQlKYkdKSdRLfI8lCPCzE/SWfff8ZtY0O1V7txS7uC46/0hQEQfjvgW8Bo6IoXvrF3F+KmxdeQCD+K+C3AR/494uiuPdXrZHlOQvHo/fqTdZfv8a1b9xElAUM42Uu724zPxjz6Z98xLOL+2zXKhDleF7EQ/ecLxm32f2Nt7l1O+GKPkESdeJ8yUKziTARpRKiC4OTAePxlLWmguAqxKGGoQScPP2Uy//8Mf6vf5n6lS7HgzEXnx5R02yqiY7mSciuhGHorPIYMoM8zRldDBlcLLicOAjlOpWb21x/o8e16zF6FtBBYNDtcfxGg1Kzw/zpgNnPHhHrddS2QWmrioyIuILI84kWC7zLUxbLFXmug58giyK1qx0qhoFZKGhyCV3OEIsFtqEiWDLXXzOp3trFPVd4NprSPzrmSqfLfOgyyQd89OfH+JGBZFxH0FpEiBw9mnP8yTHptM+7r25x+9YWN++uYTcKsiwDRJJYIhNzPM9l6c4JlRy5VUc+uWS5UJi5S/yLj+h//2NQJDxbIlNEVKNL4WSIrg9FhdL2Nd56s8evVY7YFlfkusu9QifN64RzuDxyMLomr711m63dNbZvVEHKySWdM2POcDBnfpmz//AUJ14h1+tkksShLiMMllwuz3DCOs+MBUW7TCJCFoWMnRWX7z9EcXxubvS4dm2TznqdVldB1RO2VIk807m2+3Vkcj47jTn/4JA0HZL6PpoiEi5Dzi8WTJ0NJAzOtB1EIWGZbzG4iDjam3D44CFa6PLWK9fZutOiXq/QbNgshgH98yXPHhwihQKBkeLHGQEpR4uUs/CCsRbxd6t3MBWZnfYOnr9k5cfkokSpYqJJKRt6nRiRoamib5WovHwDlRQ5zxGWKZdHE+qnfVbDGeQFWBoX50vKfY/pJ0+REEgtFb8k/s2ZAvA/Av818E/+wtwvw83/FnD9F6+3gf/mF+//2pFnOUUm0ug2WdtZo9trkAoJlVqFki8x1yrsf7CPMxtz3g8wChFZ0ikcnyyNyZOYKIoIioBVnlPEBYkEo7QgKnQefG+f+cWAIolpmQ2oG3iRzOHRI27dXKd/ccCH372PutZBNk2Wh2PMTCF3E4Kpz3K0whAhVETELCYVIA5iojAhiQtkzaTR69Bo2hjSBD1xsPKcktWi3FIpdcqE/SV6mlK2axiNEu3dHrqiooUSy9WcKPCZTqcocoq/ykndGEWR8RMPsRAp6RZ5/OK+miRDFQskpaBdllFLFRpll6pZYiaAioqcSSSrlMHphPr2jM1JG8ESCPOM+cWcyeElEgmNeolyWUczdTQ9IU1ECmQEJARJIo5jojRBVBXi/T6VehW7USKTBOpFirpIiNMc38vJ5Jz5cITlxChxinbNwtpsUm9q1PIxlWRKnGSUTIk0kUlWOcupj1XVsWo65ZqJYSukeUwhFOiWgSQtyPKEuefixSGdq7tQMvHrFtHBOdHM4/ij50RFhtSuEwo5RSEgSTLJOMASJWp2GUvXqDZsdENAlHwkIUSUJMrlKm+/dY2KPeWP9z3i2RDyHCFNiByPxTDkYimQKgap0kQWc7ykymwUc7Y/JF46dCsKWz2bUk3GrAroZREz0jFcH8sosZRcwjQmNURQdQTBJC5SziZLjg/HVAyD6VqLSs2iEEFUZIpcoogjsgASv0AumdSvrnPrG69hKgVCllOMEnJpHzEsOBwvkSWJUqNFaMqUlQJ9GSNGOfMgweVvME+hKIofC4Jw5f81/ctw878H/JOiKArgZ4IgVP8lV/Jft0acpAT1Cld3b7J7vcPt7TmaEFFOD8he73KxYdNP3uD83gUHf3CfspEiCxFSAYPzCyprddzLMsm1HgPDwRVXFNgM5jc4H5jc/9HPCc6PuNkqc/P1HZRKCS3yuTnQiPyc3E+QRJOjJxNmYYSUhtTVMpOBx/HBOcP5lPaGSd2uYIs6bpAw6s/xlilLx6P3ylU0u0BR4QYnNPURZg6WUpBYDZprZeZPYalF/Nqv32Zto8H6bhW7YoEkcvzUZun4FI9likhj4c3oyylhCMVgxbnjofgRV4uCMM0wlHX0ICeYT9gpC8yzgNZrFZx/roBmUO2V2dB3OB9OOfvggPhkRTa7oHdlDX+54v4//4j+3ilvv/IK61dvsHFrjcRIyBsxUhCSew5BphDnEcezIf3xiM7tNxjP73Pn7jq9lzfQyxainKA6Ar4T8eh0gBuGeGdjAtdFMiXEKz3s62WKco2F2EPPLaIsJfR6XJz7HD7cZ3x+xq+/uUV1rYbZtBDlHDHLKPIEQREQFZHFYkZuSdQ317nyjdtYvRra9RbJ0wu8J32s8zGu6+IEC04uhoRRghLUqcoF7aaJbVtomoEfZWR5jqokNEoxqigR6gHBTRPLVDnZH/Dxj0I0WaQm6qzcnOMPL6ncnXDlRpfFzetICARjiY9++BH3f3KfnXadV++02L3d4+qNNpIEaeKhqCq6IRIlCXPfZ0JA67UblNebKJUyeZpx9nCPH/zkKUd7E7KlzStfXUe1dcyShDMPOHh4zKfPhywSkdf+3svc+domr75eIFU0gjjDHzcZXvaRxl3ODvdp1m1e/cpVqjttUiWkFCkQFhyfTjkcTXjw+IuVJf+6Zwq/DDe/Dpz9hevOfzH3r5jCX6ROy5r8gtnQMtCrCkbex5YDOtIlvqrh1Cts3NpAKnSe/3iPxeQSuZAoixbhKCCdRQTTlKihk6sd5oFGIpeYLFWG5xFxf8RGucTOepOt9SrV9Ra2IhK4IVlccNCxGfanFIVL7OSImUk8cBlHMYGhMeh7xFmCXy2omiZhUOC5GZ4bEIcZhmYiqwq6DIaUoGYBclagKWBIEkUWsnBmSDWD3rbNxlaV9Ss1TFMnShMW7TKoMpo1Q1QVVmFEoCTkZEi6QaRDbBSUTQOFDEGQcdOAQpKxhADUnGbdpNZs4JQqlGyFZsUkFRIGFz7+ZM7Foxw5VvCWHv7Ih1DEknQyWWWZi6SyTmLISCikSco0TDj3XEaTJWEqsDo4QbUVNneabOxUKNVKiFKOO0uRpiuaMxmjEBmpKgtJQlFVBEEjSGQmvsSxtYGPT5aEnI7h+d6M87MTIn9O3X4Z3bAQJYkkT0AUyFNYrpYEkc98OUPSVex2g871DqVOhdJmCUVfJ6zppPdlQq/GeLAgcHwc0Sd1EkQiorBgstSxfJPpzGXD11El0CUDTZJJ4xjT0KjYKpWGiZuEoKr0qm20KGd0sWT02RFVQcIoVxAVidXhkpO9AzzH5e7WGq12HatRxjRUBKEgTlPCArIkZeYsWQU+erVM+/oW5c0merf0oswrSQzckPE05NmTAaWegVJOqFUMVouQ/umCgR8hN9rcenWLWzsW14wJiayzkAucqoFh5YwSD9VWaK5V2dyu0LlWRZJz4kggXL3YZbWXf7O3D/9fxl+WDvmXnnD8Req0aupFt2KjNhVkNaGZzamLLmv5PhMyXLPD7tWrVFvbPP7sLpM/nhE4Prrk0zRTDH9GyUuRFxA6GtXGLs4Kxh+d4u6vCM6HtL6yy+27m3zpazvIloAQO9iGgiSIbNzY4Wf3FLK1JpmfsBg7TKaPaDRruH7G8ycjZh8OsSsm1a5NT28jZQWT/pwg9L5X3JIAACAASURBVNCKgiJPUYUMgYIEGTeTmIQqCzfn8viSo6MjtnYadLc26Gw1aLZ0FBUcJ6S9LmM3KsznDRRJZnw6oJuZeFGEWTZRFYUiyShCkTASEYoKUaWEZFUpiSeE6YBrG1dptwQuTZ9qS+Gl12rcSKrYDzVmM5/DD4+4/OAUEAkXHlmS4M5C9vbGXKxS5KBKcmCgJgXBImS+8Nh/f0qyTOlU20hqwsZ2h5tf2WbrVpUiCmk0e4zOHOYlg1l/jJjHfDRdEusGYZ5TGQc8/OP3qBYexRsvI+kVxvh8fu+QycEp7r09OrKMkSSIYUQy9xALA1EVmSxdhFFKNI45HLt4JY0rV9pcfatDraywVg4ob8gkN5uMtmrsPdxHUHTSlczR3jEXWkJVKOMuEx49uuR0EaJvw5XebeSsysqQcLKApTuiVq2TJDntisGdaxvMw4LdK2tkCaTPHY6/9ymzh6fcmryGYRhMPjnm4kcHlEsm7W6bardHvVsiSVcoAhgKnEwXDIYLnvb7nJ2c8co3f4Odb95i61qTakvDTHLEL7X4acdm/HDKD598zqmz4MrGGoguE7fPp/cPcZtVXv3mLd56VeSlyhEv6SckdDjH5n2hxdSLOJkfcfd2h5u3tnj5b11DJaC7scFyHLBahCQLH2f4xVKX4K9vCr8MN38ObP6F6zaAv3LPUsQpa4VC7HgIM5lCqVJYNpEWUi1Al1w0y+NZGnHjehfLtlgKOaeRTzkvWM0c9j44QF1s4/dUKtOUxE8I96asLh3Ceg37pWtYd7eIagVqOacrRqiyR5xnNLrXMASb6u0q3rf/DG+6QMoC/FJAt2OiFDWK44KQjL3+nEjO0ApIYh8pj5lcHqH2M9z5DsNqiyK3GdBm4dscnCcc7y3Ak9h5bZ32ZodKU0O1F2hqjKAuse0GgmAhBgWTahXn9JKHz4/JcljEMQ8fH3By1idczLFthfLmFtd++zpxvKIj7pCmJp9/eMrZvQPqicWtt25y48tlktjHbvdYzkLaH4g8fdZn6azwMxezpPF074AHDx5imCaRXCA3m8iFRJzmeEmMNlmxaytcabd5loR0Nzbp9dbZapjoZAySFNG0wVJYiTbTPMaQBbY3t0AUEKMVkRfy0f/0cz7+nz8gE4CKQZDGCH6CldkYisJ8nnPw2SnVWolVr4okCSymDo8fXDKcuCSxyObtXa7duE2nBWslh5eUT5EKkylVxMY1vE4d7zhg6AwZ+ROsq2vIa3UyBQJnydJx+f4ffYq0UHj57jZybCMZKma5x+AiZHgRMzhxuThaUtspU25JWKZObol8+njJ7OSMD/5wRsmySQc+tmZRMS1qlo2t6ihFgUaZNI6ZjZcMLxymI5eRH5CbJs2tNi9dr7K5Bm31CLOQEOsWCbtMX9lh7798zk/vfcT+kypbzRbOasFy5fGV3/o7vPLmK2ztGhgUiMkFaaEgiSXCYcr4wRlOJNLduM7GlS1atQZdI2eSJQiagmgqxFqVaa5/YXH/dU3hl+Hmvw38R4Ig/G+8OGBc/lXnCQAiYAoivuPizURcJUFMBRRboyrH6GJMV1M4ExI0BVRydFFENKo4Tooi+Dy8t48UFmxZuzjBDMIC14mZOgGJpmK2m8jVMl7uUNUNDAGyPCQtYhIpJ1Yl0lTDnSwpFh7b9QbVThPdgIa1jqTaLAOPeHZOvIjJ8wJJKBCEnChYkYbRi5p1rpKhMBObjP2QwSJiPvNIogSpAFFJKaScrFiSCxFIC1Sp8iJXQMpRRRCKBL/IkMomeqPBYH7JYDFDDEMajRLVUEYddQkNl8JokQYizx4PkRObq9vXqLXq1Ls6aSKiC1V8N2f0zGNUXhIEAVmQIEoyOSJClKPIInJUMFqcICMQCRIZKUaco9smhiRimyq1poWgp8S5iyKmaKKMLIiQBXirJa6zQKmXKe+2sEs6PTLkKKE/jjjp91l6K5zzEVkhoqQCYiiSIDAaLmk3TeKoIE5zVFVmMVoQ+QJxmCOgouoGkixjyDK2mNMt5sRZhpeVyOMIIc/I8pQwj8GQqGz2KL20RVZSsKYu7tGAcP+MR59doOQ6VllDrUApTpiMEkaDgOGlg2bXMEyZckulUTORbZnRtMp4MWNwPqYwIljliEFBqsnEYUzgBkQrgSKPScOI8bnH9NJlMVoRJCmSaWJUStTsAlt2aacnaIJEKtcxm208DNZvbTN9dkHgRayISBKB1FAQDJlF6DJKJFTFYJKX8HOLmWAxmUXMRwsMHWpNC7uukggrMlIUQSATVCKhIA19XGfxhcX9RUqS/ysvDhWbgiCcA//pL8zgL8PNf4cX5ch9XpQk/9EX+RFZUfDZ/T381EO4uYH+a01uXutR1tdI8gTPDzjylqgTCfvJksezFLNuc+Wlq+xutHCiBXtnRzz9+EMqP3/KZrlGEUYkWcxoMaPdaqC0y6RNjfp6zrq2D/EhkrxOLqksCw/MNu7TAYu9Psoq5PpXX+faa2ustQQMXWS5quL4Ah9/XmE1h5NPn8AiRgg9Zqd9Ntc6PPjTR1Ty10GVeTgfEJ+nXNzbZ/HoHo1KiUajQkNwacoFpjZC1UQiQ8S/9CiSEsu5xeOTGZ/NXW7+9u+yfnuLl++qJKRMvJSf/uB9Lk9CPv/9e/zo+/cotSuUd9rImcjJxw+4udZg95Uya1tdKlpIIqeIPYvYiKi/tM3448esSNn88kuUOw3qm9vctmXUJOPicMDRaIwzdfD6HkWskuQRCA36E483vrZFqZITNRWWLYlYVIiGIXNnyWQyZ9Y/ZXoxIlrfZv3fusvN611uhxNKYUDmphycbTAarXjw832On4UEaUgQeYRFzvFen5PDY8qNKtU1m5Ju0JJsRsMF48WKJEoxSgqKJaCmBXKak6YQrQxCtwJBihgXTGZzTpczpEqJ3is3uP7NuwglCSMWiPsOj7/7IQ/+/D4nxwv8WKK+UcasZcz6LmenIz463qNT3mRjfYsbr21RbyioYoasWFycXvLBn31OMJzjhilhEhNkJT755AmHJxYngwbdeoU8yYnmObNhhjfLKcKUSq9FXtKQJB/Jv2S3MkHOMhYsMcoyhtRl8+51jn/8mHixYDgdUSgS0vUq/jLk8njCw+cVpo0Wl9pXWHoKQzfj29/5KdOnB9y51aRUyREbEqumytxQKBYRTuKxcCImw1OmF8d/c6ZQFMW/+0s++ldw87+oOvzjL7z6v/yeKDJNErgYkusKG7smbikhrZdY4pFkoMzLLE+WPDq4IG2WqN1a55Vv3eXWRh0v8eCByOnDMy5+OsUZLCmJMrIoEKYpWu1Fr38q5ETZEl1cYUgaq0xHFkrIQofZMGb07JLEjWiVbLaudrhys0WvmqAqAvUgJ0wVclWh//SC+EJjFKn4iYJQyPTHZ9zYt9irD1mVbZZFldXZHovjKcLCp7e1jmTL5HpBJiXkGZALiKlA7EMSJDw/OOHJ4QlpWafxeosrr6/T680pyGkUJRLrq0yeO7x39hPCgxPSsxHOKCD2PXQholKWkZQIwoA4yMhFkZJpg2CRpzNWYUQqQu/KGu3tLu1b19gUYgpnhee71D0f0U/J1ZSkSHHDiMnSRctjBqM5elVg5It4gYJOQRTkDHyBUSCwzFUCDHrNFuWeTW1Np77KqIYxri1RwSIzFCrHTfLHB2RJgKhIWHaJTIhw3AQ3mTMIFjTKVTIjI3Q9At8nTWMEuaAQE2TRQxBjPFElzE3iRCFwAoJVyNLxidKCWrlKa9vk+pYBakRJkCnqZZzRDrOTEc7xmMePT6gty7TWTC6P+wwnCygryKKGbVeoNKuY5ZSqAevbIoqYcdKsMx45eJGDqssUIlyOZ0xdl0hIcWozyCXUvITnZgSrFJIETZLJC5AkCUUSkBGRhQyZFF0SsDQV27QQswJFFKhWbSIhx+nPubx/wGrscmSbODWDI1shy2CyChkfTGhJBlZsELgCczcnjjS8PIdYZOFlLH2BcSwRYADLL6THX4mORrVscevf+Q2Onj7h8+EM44cZo4MAM3uLztYaqZBy+KHHn3/4hPv9I37zH/8ut15Z582bITXGRELI7Xe+znSo88H/0efDb3+P3A0YnfdRVAn/oM+T956QZlvc6VVwGTMUK5yt6qyEOucLlR/++X2iD49Yr9V57eY2b311g83bIpL0IiE5Cw0KwUIzW6wLIf5ljYWbIsYBqVBwOdR5cLyHOPYI12poUhn/+SXuwzM2sOloJpYtkmkaYS6gR3XSTMOZpgzPNY4OLvk//69/wVwq+Lf/4/+A3/1Wk255xVZ8H1HJWRUKqvoWs/Utjp46nKwWpPMZG9GMIIdFJNAfimi2zMneGbK0jqyaBP4CfxVweXyJj4i51uHOr99h8/oanR2T+tIjmYnkeZtokhDPPY4Cl0yWkbebHLsBQhRx+ZnL84HJzqyKXK+RSwJLP8AdLLg82Ec4m7JRrXBzvcGdck4rOadrntG0IibCGmOzx8jIOCvPeO4cUjYsWqU6laqBUq6THMxxfZ9MtThbxTjClBIxaZGj5zmLwZDptMkiNzEFhUhrAiBHM6bDjNHJmCcHc8Sba6y9vMmXf/MK67UhNT2iVPgUtRzj91pkqy/x/nfvc+/JPq3TEhWhwkrwGcdT9JLJ7o0uV652KVUMJGWBWlbp3LERSwJbR3dI9vpc9vdoNMsY1XUio4nnT3jw+IQ9ClKhYKvUoapZ9FdTxGVGNJ2h+0OU9Dortcw/W2yjax4N45JNqYcWmAyOP8UpAhItQtYC7LLJzeY1atOM5EGf795/RihC1SwhKwqu4yCEMZJpsYoFPn5wgXUeYH7mU5g6Sz8gTwu8yZJnP3zAzVqFEYMvpMdfCVPQKjqv/YM32T7YYrx3yf6ffcLT889ZRTK/8bXXWaym/PF3XgRY3P5bd/jW379CWXP5knZCWxuxLCI+Kmy8yibdV9cRfpTieQuqDfn/CbA4/eExy0cTrOw6i793FU3Nuch+EWDx6ITw/iPmowt+5xvvcn27zlZPoCpOyOszlFwnmpVIY4XcL0iyOmdzmKkm5Zu7vPmN2wiCxFk65vTeM6KDY/KsgjJYUPgJWrtO6udw4nLWblO1FAK9SZEqPH4y5uf3n3C8f4FZqnL9zV2uf7mNZcWouUM9dxFEiwKBRA5J44LCWxGnC6x6gZ/LzKOAyuYGT6YnPBw8595Dizu3X6Vm16gLMmKavoiwQ6DWrtG61aWxW2FbOyGeuGiySlEUDNwZl96MsKFS3dhg7Z2XMBo6kR9y+LOHnPcnDL79LwiyhDzPCZMCQzIRwoTr9TJdo05X06mkIlYmUqgKsQiTbM6ous3Uhfk4QBVseq0NXrtzhXrVotax8N+NuRhNeHRyyWjoEi1TItchpyCTChQ3QRquyJ6HxFWRwKqTeyZ+KDNfjDk4GhFnK37vH/wWd15d50v2jBvyITWWeJnKJLXZt25RyFMqFYvL5RgtczGbDrOZgKCVaCmwUbOoKiJKKiPLNnmuUDcr+OoIshO8YIXVrPHK77xDu3eF1u4GUTpl8PyYve8/ZzKd8/izQ9YEjUITEKsSTubhpQp/8s8eoakSW6/uoEgSZbNMGCiMJwv2758h+iKmoLHeK3Pl+ibvvHGNcrmMKwr87HDE6GhK//4J/aNTgjig02sgmwqOs2LpPCdFIMgTkjQlTDMk0URFxPAjumv1L6zHXwlTUDSF5laDbqlOr9IkPV1wvH/Ik2eHbPSahL7D0JmTyDk7N9boNFSUOCILZwjSAgoflBjRkHCCBX66IstDNhsVNjY7iL7K4GSJe+Hz8ME5lXerVKWIwSJgufSY7J/hHR4TFCHlmoFpKRgqKCT4+MiFRJ5lJFFK4GY8enTCYpWxtrNLZ7vON37zKyjilJ9mE3pmDefBjPffO6FYOsiiRipAnkPmhIwuHOKSRGbpxEnK4fGSo9Mx3irFrNlUKjaKXrDMZUzVYJmIeELCvJA5W81YTiSi+QKLgrWyjRd3adoid9++ww5rRJnP2ad9Pvp0j5KksWvXqGgai/kc06pg12sv2pcjn0olxxVTckmHQsQJPII0RilbWO061bUO1oYJEaSzmHEq09RXLBYL0jTl4nKBjPTijydqaJKKEEbkjk+uFySKiC9BIEnMC4FpkrEYu5S0EvV6nZ3rXcpVie5aiSzLqIwKIiNFMyQWhz7jiY8oS2hmCS2DbO6jOQoyKm5Q4CwKBtOE/f0h5+dTKnWb3Rs97Boo0gpTmFMqFkRClUyp4M4zgjgm8FeoOtQaJp31JmEu0ndOiX2D1XLGbGziO2VKok4aKxS+RO4LhGGMF4eYG1Va13t0Og02rqlk6JTsNulKQbscMRusiMYuEiLpykXINQbPL7g8kimbJeJYQxIV6vUmYRLgrJYIfkHupxiCSLtVodEwWNu10LplBKmgpudEuUC4t2SSn6FrGtsbHeSySk2qEATBi1Da2QzP8xhMXLLIQxZVSrKCJv0bFtxqGSLvbI8RmgVeR6SivsGjR13e//2f8d3v/ghUFWKVzY11at0rHC4FbLNNUlpxETaJ0pyztMPxmUv/4+eEF0PalsYbX71Bb6PDm+UtBmOfg+ML3v/gHmfnI3pf/hKmdki6ilh+eIg6Kbi11qPXqWO2RXw9Rc0l9FWNMFQJvTLzqcj7f3aP7330BDZb/MP/5Ot02xnXuuc0tIIrWc7D3XeYXiiovZ/ywR+tSAKPmTshOw+YeS7lwwsEWUG1KqSZwGA05eneEUKW8sqVV5EKFfdM4zjPmBoyB8K7DI5nrIKE46cJg88PmD5+xOuvXaXZtvGv3mTj9g53buTIyhrLMGM4gvu/P+DyyZBHz/ehiFCTFKMakV3OicchWqdMkA1RwhJHw5ipe0l/uuDkdMDbv/c7WLc7vPOtbUoqGIXIbEtieLlB/uN9jp5dEHgheqHjTSKKouBkNmUQuKjrMmuHDazCQqi2yKWEaaZx8jjg4UenzE7P+eabt7lxd5NXv9rAKsX0mgKpr7Ox3eHq3R1OjxZ8+qf77BUpbhBw7jjMJ0t0VeHk3ilT0+Z5VHBwOuZ8NOHZ4THOdMntr7+OXW+ilkQuZAtVzrjEY5iXGaR1Th9Ome6dMT3a587NGrduX6W7ucPn/90PyOOMcRzw488+4cHxM85mI9Z6bTrNBm5/gesEHB2dMPeWvP7S29x9e4tWWaVnP0UWZshrPczeTdZGm6Syyvm3P2E5H1EJoGxaPPuTDxBzgYph8fSPPiBMM/Ram7RIkRWBxcWYrqbSqZXo1MtsbrSRdxT0tQhFSmg3WuQli9MfPKTZMNlcb/KVX7+D0SuhCCKRl+E7AcfPBwxOR3RrHfqHQ4pUIM5S7h8dfGE9/kqYgiyEvB1/TGSVuDQtRlqP3d4aZxe77P/B91ElE6vZxXdDTj8+RSw0SraKat8hS6Y4ScD+02OWz6ec/OGPudZuce1qlze+coX2VgXZFLiV1XnXr7H1nsz3/uxnfPq//JhWo4sQJoTHfdp6hYZhkM19Yk1lMhXwdRPbWcN1Cp48XvD82QXf+d7HCF2Jv/3vvcm1N2Oa4QnvyiME/5Sa3uJUqyNs7iLttFA7Bq4bM1cUQkthIEYIRw5JkpEERxRpQpwESCIoisLFszMGJ0Mev/eQ6o2bGKaKYVv4iUKaCRz85EesLofcatV57c51rt/exfpqg3JLZtt4QJUpYVTw4ebXwLyK+fE5k/92TDKeoqQZxSri+NMjfvRPf8bszRu0/mGXbJEyOQ94fv+IiySFZp3uy1fYeK3FjeaEnnKOmks45RKL2xVOZxv05x7ebMn42REUCrJusRAC0jwmuvcpWlMgCjpUKy10o2CY1Zl8NGT43hFVJeXr37jL2pUanSsBhlVQ1iIkqYwuK+hmmcLNmDZtHnorCqDUqDL3PCbP5lycPqJcamFrGywcn+l8wnQ1wTYtjFKDD392RKWusXvzJoeCSpb4nF2smC9d9r/zPoc/3qMi5Lzzzivcevkm/8V/9m0q3XWubHRpv7RN7I4ZDcb86XuPUXlKUy9hZTGapnF+fk6sQHOziyG7WJJArzjEKMYoecygblOTRNytNkK5wcxP0NbXqXUbXO9Y1C0JJU8RJhrD5Zgz75LT8zmmXKZUZFiyRNU00RWdwAvJ3IROIlLKYyIxZZ4FjFmws9vktZdv8MYbu5Q3bZxkTBbqrNyMVZLTX7qMxufM/CWaYpJZGpM8/uJ6/P9P6l98CGTY6QBFqaLJOblaQzAzmhsd+pZF4iXEzoo8jpg+2Ac3wrBKpJUWaewSEXGxd0Z6skCLUnrNNo1GA7OsIRk5zW6OFPsUsczd61WOnneYL6bMD8/JggQ7zlEqFlmW4c5cRMXGmQrEJY08tTg7W/Do8YijwyFpJrBxZY3OVoeclCANiYoUtRCQRIMil4mCmNlkiBevUGyN7tVN7HoZ2VDI+j6hmzDZHxI6DnkUoKkSgiyydOYISxEhzZn2p0i6impVyAqDPBdYnc8Qo4zWdRtN05BVhZIYYRJipVNqwooIgVyIKNSMRMooiIGU9loNzSgzmCcMD8bIWcbuu7epLi28WU4aQ5oVoOuoFROzrKGml7TVIaIAcW6iqhnnN8oYP8swi4RCLgi3Nex2k5ZVIggC5vMhTz4+JZ3EtDY3sToWj50Zp4/vEfWP2dhoUqtARQ9piAuEYk6kppSbMuJMINi3kKMWe5cPWAgFUrnO1ZeucP12mYHn8vP7D5h6LvLxI5QoIysyVCFBFjMOP/mUa+FNomqZkz2RUBTIJBFn4eFOlnj3BZoZdFpV1no3+f3vHBE3KlTf6fD6V19m/WqZRWoymnSQftDA+WxE//MTSlqZIp0hJBkVu0HMigE1anqKHp1TzpYYlRpdccVqGVBUZAbBjDzzWW9YdNoCV+/ayLbJ/03dfcTKmub3ff++OVcOJ+ebQ8fp7skih0kiLdmWAVGCV04LL7y3V14bBgh4Y8Abw5Al2bQlcUTNkDNDclLP9HTfO919+8ZzTz6nTp3K8a03By/umNAAJt0QZGP4LKvw4kGh8P8B71tPfX5hCF4vJBsXiC8j8hnkiYQ7W8AiYtoesdipUM5EzKTAJB2zIkk8JOdkMGfcmfHGrXWkJQ2toSLg4wgGYyEnFwU0XcTMYzI/JK6IZBWN+t41JNdjcPb59KVfiVCQBQlVCUjlEAMoWxZTPUYxHFJBxLZ1ElNByDMWB8f0Hu2/AiyqGto0Q5ENJr8ALPaWizSWmujFAoVKDU0L0YUOkrxAN3TeeWsZx/ka9R8954M/e0rvMmK+8LgUF1TkMk8/vaBQthj2g18AFgMO9ls82z9gPp+xtF7Gai4RLyQm0xKxZPGTfEHRymhPI47PVHpHLUYffkKxaHPrvfu88e+9g1ZWMYoKQTfAu0p48n88ZPDihNlxSH1zFWupiuAIWJKA7C6YLVLmYcRlr08wcMnjBGUhUSnq6EqGl8dMohBHKhPKOROlQpZX8FOFOHMYPDul99kz8qCNbafsvrnMcn2L0LN4etijtX/G//TfnfCVlbcoTBXihQBugF2qoBsWxaJDgUNW0w6qICHLJpkos3le5cV4Qbc/RnSK7H35bSq761j1CnEcc/rBJ7Q/PmDw2TmRbLBzfYuJlnLx0Qum3QFffn0PbVlCqmSkUoQiCOiphTtK8Kci03HEh5/s87Oj5xR/7z57t2/zt3/7PhWjxySO+Tv+3+fZR8/47v/wJ4yeXkIeoy0XkBSN+WDM4/cfkCcpoZyxSBIEUUWTDUhyxMsFb73RZHmlxjf/5Cc8vrzgK//x3+fv/sPX2CrnlDnCNkQukwKf3X6N7ouA7/+P3+Pyg0dIgo+IzKw94+m3n7G53WB6w6KzvU0vaLEGCHKOUysgajMiMaS8XODLv/4G9aUKm9fLCLpKGOVcHs1QL2SUXOfyWZfQ85kICr6Q03JnXH38hNXRANPOuCZXUZo2J4dXtF9eYDsS61tNltcbKJaI4Rjk4ZRYEF81gAcR7f6YeZxRv3WdyrVNNt69T5QkfOdbH32+efz/dNo/78pfCbxRmhILGXImQgLeIiBJEuxqGXN7B4WMQhDgTQO8EE6SNuooRUpFkiAkEgWiJMOPQlQ/JM0F8hxsXUJIBWQxJpJCFFVmc7tGe3sJMVM4mnr4ecLUDZD6I3w/IE5zclVAky3aVz0mkxl+5CKrNRTVYNSfoVxpFAsqqa3Tcl1OTye83I/oH4wYnVxQv3ub1dUVmhsNRCtDtXIEQUBKM0xTQ1MVlDxnZWmZ0lYTuSKhSzlZvw/jlHzhoy0C4oUPSo6YqpiajO8vmC9cxvMZZlzDjwWyXGCcSXiBTGc8Y9oeEA4mFA2VoiWzvrPEZnMNgQaKs4S6L/LBxc/oi2PkqMB4NMPRDGzdRJGUV4ZjkpKlLqKqo8kmSp6QRTFz12c0D7BqdZZvblDaWcaoGKRJRCm/xbGf03pyxIunV+hUmRs+yThAS6FcsBBMSJScJBUQY5XM1/BdhSiQabdHfPzoCa6Y8Du/cYf1jWXWamPKYpuarHLhX6O0XKRcqeHKAwzFwGk2ME0dTchRkUnChLE3od8fEXkhpCmkYAkSjmli6hrtwQjJktm+V2d1JaEhDlmKThByi2mukxfWEOoqQtkgk2MkEqrFApon4V3MOfroFCNdZW17CUHLMNOcSeSxCFKm0wlpHmGUHMpNi0rDxCrKiLKArAg4ZRNjrKEpMWEcEcYJanMJ07EIowUDd0jYG3F01KW6VUQxNDpHQ3oHF5iGRKFoYTs6giQiKfIvlCgQ0gTfCxnNAyTDoLG9Sv3mBrXdCunftNuHFIGJVieRHJLEJp9WEPtjLj85JHd01EqJr7+5QrFoY2ow7geMhj7Nc4ez6JLEzVnyUtI0x+vGjK4GSGrM2ctDNrerZDUVW3WQxZxA9KjWVVbcCqIRIpRilDWT9p8nmAAAIABJREFUTJQISybtIECKfTgZErgJfuRjpyLhwkVQBE6uenS//ZDWz08ortURNZlMBls2uYoTopMh/YNjatUdvvL7X+Hm6wW+tvoEC484D3nk7HBSyvGskI7fY/v1Ld748gpOVWNpq0QqCIwnJYrHE0a9Bbmb0OoGJGnMVR7gzXKGBwlT5ZTB2MetllArBQLtJvnCYzoYcXh0ROtfPyQZT7l3f5XNvVVee2OP5W0TQfDZfKPAFxfvUP9mwEc/OWI/VCjmFokbkJVDovAKZhJSw0ASTSJNYxBDnKl0zgd0RhO68ynX7tzgxttL1DdM1sshupQT7dZ4vPY2Lz5p8KP/5Ydc/vBHFB2bhljAqJbRo5wksYgjmTBQEEWFXldmOJHYf3LKH/7h+5yNRrzz+1/iN9+t4GgBt7Nn7Jkzxqh8/9wmEzM0U0M1YHmlyM23timVLeo1nTwVcacRl5djLp6fMRu6zAchERBnEQfnZwzDBcXlLe5+ocHb7zUhu0BkiiN7zOUCimpiiUUGucd4dE4uedglhZt3VtDkOofnM/7in/yAxx9U6cVvsXl9g3CvhCMWyeYBl/ufUSioNDcKNLfrVKo2dukVYCOIgOqBENDqdJgKGdZmlZ2v3qe0VSOXBVqf7TM57/MnP3pGuxtR/1LO8c/bZM8GNJYKiIuIeOIRznQWGaRRzqizoN/1aHeGdOdT7OIS63fW2Hx7ib07OQ0t/yUQ5a9bvxKhECQKD6KbqGqJuW9wsr/g5+8fcPV8n6/eW2Zvc5W1GwVKZZtKucCsn3J5MSJyU864JMhjwqJErorMhBIPLzpo/Q6CkRLPM+rGDmE5IBcXiIqMKIIU+5ihhjzXECsad/+jL9PYXv8lwOL5Tw8Rnxxx/PQFjUoTyTb+ErDQzge4zzsshJS+IbCYgZpKOLOQKPeo/fo7vPZGhdvLfV6LP0JNAsZGnXN1j2Gmc7Y/YOIGbHxjl5uvb1Oqaah2RhRFVGslFqOU2TTEi3wu3AGmbdN87T6Jo7PwPU732/RenvLRD87JDAW5WiKIElRVZdoZ4ExcmhWb7eUVlqt1VrbLFMsDBMGnWpFJw4z/4O/dpmSX+eThCRfP+wTREGke0bsYUK1W6GyXOGEVEoWLmcrRN1W67TZeFBKTsXl9k81ljYo9Yze/oJTHzBsO6VfXsDZu0D6/pPXinNYn52yZSyiZzLA15slHFxRsjXHVQJcMLi58Pj085uygxcn5kLUb67z+7g1mxQKSkuH6Gd00YSw5LNcqLJKI1uUpq3tV3v7CDW7eW6NSd6itGsyDlOHQIzJMvEWIKI2Zzros5iGiadBdzLg6Pefub7+O5MQcT2LS0gaSnDKYaSAIdAKN/UdnXDy8JOm2WF+vcvfuBrfuriKLZe69V2Xz8DYvjw/5J3/wF+zc3+Ebv/817hsuTw6ueP7RIW82G+zuLKFZGqqukoshWZyRpilROCcn4rJ7hVgvs/Tmbd74O68hNHXMosUb79xmetDhwT//gAcfHRDOY3h+jNGbYjfrTC4H6EJCtWwSuQlxCt3zOd2rGZOxS0zGyrVttvaW2FjWWBPPuJZ/vtOM8CsSCkku0hGXMMUis1ik1+pw9vIcWxZp1iyqdZNi1UQ3JXICBFlCUl/pOoswYBYHyLUyWsVGNsrMZyPmsxHP9i8wJJXN5hqKZiMZEoosMp9OmE89BqMFk0VI8UaTm2+uUKq92iNLU5KyyMn+JYVag3PpgFq1gFEroDSKyHpEyRWJxzGjyCcOFwjeEDkI0fKITM+wVnRU+5WzkKUiaSKS5SppKBPMItypiySAXbZQzFefByEhJyZHQpAFsizBDwMEW0WvF6jfWkNqFvHDV7dQ2dWY3JsS+zlRuGDmhRiGgTDJKdoGlYKDJmsIufDKBhQiRBYYkkgspzRqVa7tNRl2J/TORgh+SuIFzDpTJj0fL61xIlSQBJ3P/rHHtDtEjQ28WEB0SiiWgW2ZaMKYqnhCTQ6RY5s8NwiLOs5unYq7IHzcY+ZOkbCZ9FyWRxHjYYjXjREIaV+OeXnSZ9AZoVc05JKKl2iMuj6xAXb1PufhjPks4MpPcRcBvpRTadSoN5dZu1FD01QyQgzZoqCp5OqA2PeZDEdMMw95s4iyXSV2qwhRiC15VCZ15icTpvomEzElTXZoX/QQY5nRZ20uP3mGMArY+soaSxtlbtxdQVYUFp6OUq9hO2P6f3HG/OmAs2+dsFiv0G8PyYd9lK0CsiaiAoG7QBchj0SiaYrglonmE66GE8TqOpIhsNIUKW3lZFIfU9fJ7TKz4xUOO8cEn+6zFTsY5QK9K5+VLZmk4yM8vsKQJBJdZngyxJ8n5LGM6JRAVxEUBdsyqWlzmsLfsJ8kIzeifa5iShKD4yE/+vYPuHh5yTvXtti7u05jtcnGWuUVYLHwCQUQs5RWr8M0ixDrRba/8fZfAhbhMGR83qfz/qf88CfHJBOHt359+y8Bi6OnQ06e9Hh4PkSuNvgHv/8uv/G2SDk7IzZ1JuTMKiu8eJDTe+yjVVXe+uI25SWb5vXmXwIWvbMxg+4U/bhDmIkcXnTJNYPckghVk8vARIi3EHIJJQ0II5Mf/aDNo8fnTLrH7NQqlK0GmmORChGyLKJkCt54QRD5uIsZ/UmPjddvsrS5zu5v38JsOshyQrxTxD0fwPkIz/Vpn/c5ObskXYSkUxE0hfkiYh4uUcwVrjoTHFvANkyaBQPiHJKY9TWL8e0mve6IxF0QLEIO3j9mMTYoXCuxsn0dIZQ5efRd/KlPfxoQLVLUgo1oK6hqhimF2KlPUXCRFRN5MsUWDRorq8zPZ4i2TG8wYx4nDM7m7E865LmAqmjIskqSZJxcnJPGCWvrK+SLjMufnBCEt9E0ga6j4ocyiyDl5PFThq0+qp9RX7OxVwRKJRVNkxFEiAJIIjDThMlkxNCdY64vUd5bYfNr75LKGe50wgff+guMh08p/3wVe/0AQZOQVJkwykn8lNOfPSMajXjv+jXu3b7NxlaN1U0TRYtQlJC1gcDN7V3qZZWHnxzzgz/+MwpVByESMAIDeSITt2Pm5y6SJqAmOn6YMR567B90aLXb+ILA2uYK69c2qC0r3CkscLIpkqUyLWvwD99mIAccfXDI+McnjIMMWSjQf/8Bhi2xvlTh9vYevjsnnkT4i4ReZ4Qqm4gFGUUXUNUMh5BiMvvc8/grEQpJGDNvT8mEmNlJl+5VhzyNsR0Ls+igORZkOZKYvVJcsow0SHAXPqIqY5ZtKqt1zOUahR2HvAwls0By2GN62ubspEP11EB2YtxakavLGcOByyLJqZYKbGw3qGgTCvMeC3TcNEekQJZ5+GmMXtRZWq1Qbho0lyyKukbfDZmN51hzmZoqM0QhTHMyRSMSFIJApjcNkEwNSyqjRAFpLnN20aZ10SGOPDS1jiyqZBlESYqcZmTpqyfIrusyn8+Zz+fUdR3NNqkulzFKMpqWot9eZV4x6ExjEGUsY0HBsAnDmEQJ8fw5IS6jyYxSzWPhqaShQCJD6mekcYpISqlsYdkqgpJhKgZJkjAfLhh1pwwGHkvrDfJUYDoMIIQ4gDRKkVJATBGEFIEMOU+Q8gyJFE2QsBQNWfCJo5wgS6CgQMEgUUWupgvSNCcLp5AJ5HFIFoQgguu65FciXpoynGev2P6CRpBIhFHO7PiSUbuLkcmUKyZmUSFJQmQlRSAhimP8wEeIY2YLDy9JqK/UqO+uUN2skhsZ5chG6N1n9rxN++ERnbMOqSSQSyKiaqIgE48WFGSVZsWkYBcxDINcjsjkGYoeocuglwyu7xRxpw2Ong/ptQYomUwhMxFDmXQB7bMRqiaQxiZBDMORx3ToMht7ZIKIWbKxSjaIHsWwRzXrg6ESywZisUBtu8L0qoH36Io0jggVieF8iBKLjGZT5tOEFauEkSmkEcR+gmDKIOYgZQhC+up7yf8dGo3/fyxv6vKzf/EJRqbitsYoxynlYoFqtUqj3sRyckQpI88y5CyjczWiPZjyctgnV3Q2bl9n90urrG8VqZdiHC8lS6t8VHmX4csF/+oP/wUH/+KSjUaDckHltHOAu0jZ/tKbvPmb73B3O2Vn/pglfUKQN7gUSvzQhYujKWfDS762t8P6nQ2am2WKakioyBREhXptmdhXOJT6nPlzMllEMlV0Ul7+0z9i9HCZSqVMuVEh0QQoaBx8sM/i9IptqUhV1InGC8YnHeqNCuE8IUrBH8P0PKDfjfHsMsv3rnHjzjV2NhY0TI8aQzzVZlbLEEcVRq0Z/jTl0SeHJElCViugKjZxGvLjZ4c8OL3g98SbrBdeQ67q9LKINIsQFIHUDzFFhWSY0pv5BKFPMg25nHm8+D9TZu1VbMNB+rXbHH26T/rQRU1SlDgiGE1w5zGSJjNQCwiCziiU0IQqomtw9vGndJ60CU2Ze7/1FvXNOqWyg5mrpD60Pu4yOu3SffECRQvQCzaxJRNnPl7rnMXLg1fn+ZEIY5E8yTHFIpE3Z32nho70CrMNRXJRAjEnmMXMhz6tqwntiYdvGFz/8m223lzjxtsGcjRAE3PY+RIHT/v8S+n7VN05nh/RbQ9ZuCFJLqIFCaajIwoLsigkjVOiLEfIEwzBpbpWIU4yFm6Opqwy7EQ8/kBkNnHxZz6PDk952j7h5mQPRYXlhoWpFwgXKe6lx3zgEacChm2gayJVS6CpDKlFF8SoRGIVxDkrm0u4nYSrjTNKtsrK67fxYxfShPbhGZ8+P+P5rM2yamMpGnmeoMQZwXCIP/Fw5wYj2aAv/g3774OQ57z4059RMqtE8xAxzJFiDTHOCWYBqgizWCEJIvoXI46edWm1Z/QXPptbO9S3lrm1rbFcnrCZPUGzZBK1zOhLDYrXK9zovsZn3/wp4QufVauO76sMnClvbjURTRHX1OkpG8ihiBdVmQo1Oq2E9tNLZFVg8/o6dk1F1DwcPUEgAkNFVl4d+OnPFnixz9LdHbb3NnBEKPkB7X7I9GLOwUcHLMKAOIcsFlAiyGWNYT/m2dNLhCji3B5gFTSEFA6eHtLrpUyHCbZToVZvUKxV2LIu2ZZOWEmOOBTvkYoWliYRmQoTf0ygx1iOQ/m91xH3amRZxujjI0atHn/xx/tYfonda0s0rqnotk4SuRw+dtl/1qXbS9B27/L6bpMKC+bTiPcfPOVsOMVWDdRhQv/kgkISkfhzZCXFv5owneXEjsqV2iAWE66inP5UonU64eznp8Qtl+03bvFr/+DXKG8UMB2ZLInJFyKOWuBcEnH3X9IoL9PYXqb2xiayBnYWMmm5eFHMSWdIv90l80Km/R62qiAGHoPzIZqhU9JMDDNFlFL6XZ92a8ZFd8EsldArFdb26qxumZTVl9y0E0TXpV9bJvuiw3vp19AfHuHPI07lFucvT4jCnFwqEsxSnj6ekBYeMXZXcNY3qZQNNFMlijNkScW0YqxCTKEMQuDiTyeodg1lxWEcj/neg0eIQsZyWWW7vIaU6ahBjjuekSUJpqqiyxK2oJCKIZ7oEicmSZbi5DpSHBP4CaWVOnfeus6Nv/0Wpq2TRjF+Z87HP/w5px9eMXzygtlsAGJGnkuElwbzgct0VqFTKODIS597Hn8lQkGVJSQvJgpdoiAm9iJEKaPXG9E6Nyi5Eo6TE/oR427AfBzjuzF5kqM6NoIuIUkhUjyiIo8QsxyfEEk3ER2F0kod1dCJRx6D6QhBl7F3mwiaxszzuRjbqEWLJFtlHjr0I5UnBy2GF2021guYRRGcjNjMibUUvJg4CvBnI+ajDtNui16QUN4ss/beNsuaxKq34MYwZjyd8fi5SH84pd3uEgYGWZwQRjHTiYdw1sGWBUp1B2kAUppDoBK4M+IgQdIlBDknJUFNBVQhRwoSUlclW5iQ+uRZxngxJzMUjEaFyvY6xp0VBEGgFGkMzTKzT5/w2acXpLGMUFhG9VKyKOHqas7xWQdfyFi5u8XGbo3S/IzxIKMWFJl5AdHYQ++niLHALJxhmQpRDIPLAWdHY5ZulDltvkFLiJjIOfGigXvepnd4gCFJNO7fY/eGTsOaoOUt+lmD0NQRSz5GCQb+lDtvrtJc1dlaibFKFolgISsCnue/cgIylSAUkHWNJMnw5irnz3oomUweZCw3axRNhd7FmNHQRZ6HGCZoRQPdLGFKAjtSSj16iaVHhKKMIkk4awXkpwaZryLmOopSIIhCFlJGSMxk1qE21LArCwJPYqFKdKUMR4V5kmHoBRRhznKxhGdmLBSP5d0ixWvXWDJ1puM28/GIwcsTxEWXgmqh6AY+MmLkkngdvLnCPIUcHUktkaAiYRIrRbxuh6uzEcW39rDfXcfeGKCkEaamkxUdRu4m01Cie9ZDTGVsZcoohNANuToZoFUcjOVNFmID+Gefax5/JULBtnW2VyocnfZJ45BMBTfx+Ojj5xy1WpRqNmtl5S8Bi/k8ZTHJwQ8wTJtYkpEkULKAmgp5uEBFomDEJKLGyuoqpqKRyiGOajAXI+Yv+hwKH+OsNSj5d+k1DHLdIU0VBm7Ah3/6nHoAzUglnKdcpAaKpDESMiBh4rkcTDNai5R5okCas/nWNW7/3g6rasBm+4i5rzFxKxSu23TP53z24THPPzwjTmKcchVFl2ifdmld9kHLaDSqNJ0S4iim684YTqfI23UkIwXVJxd8XEFATMosJgWCiUk4bTMfe5xcdlBrTTZfe53Xv7pJfU9HIMW8fg93tM33/6XF828+4Kw14HSyi1ZUkeKAg8Nzzro9al98k9/9L7/GiuVS6rbxvQJf3v1P+PGPr7jaP+PJH31IlgckgkBR0LAlk4OftTHWX3DLvYaq1MjyhDxT+fP//TucfXZCqapy99Z1vvH1W3xde0ktHqDIAY91BxeLT6QCl/Nz1rbrv1QGI8g5qajSLSzRvxqyGGdc7A9w84CZo5LnIgN89i/7fOaO+GK0w9HpFY6kICYq7iJiPs7QFBPbMbEMCU3PqWYTiszQBQ9HnOCIJt+QFR5YEvOxxyyZ0848pIrB+r37SKZOu3/Oj04v+PnZECkVubndQHm9Sb4nEkQRs8GcXsfn7HhMGkJtd52df/Qua3dXcEydyL2N7/o8ef85L771iN7VhCXVJc0F1Dyn0+6h1Qt0u2u0VpoMs5Rc0JnlVZJWyPOffoLsRdza3uC1m9e5oR7TpIOlxbTVJlc3LG7ne7R/fsIi8sl9kYps0z+IePgnzxkOQuprFdxi8rnn8VciFBRDZuPebQ7HDyDnlwCLy+4BZ88u/krAIve66J7xS4BFo9RBwf0rAYul1Rp1rflLgEWkShRU468ELI4XGpJl/hJgcfjhE2bnF9woF7m7W+dO3aQetyhmQ9aqAwbCCkpS4WUsM/QHHGgtZvocSYBi3UAzdCIzYXAZQKZw0Y4YSGPSyYKyI6OLMu50wnA4xGoUmAoKjlDCkUPkcISyGNE763NyMGGYStz90jo7b1fZvA07lS6mECGEEclyTpxc4+nH51y2+iQfvERORSqlOgfjAdqqze57Td64+QgthWpVoGIrREmL4D9cp/UkZ3JwzvGHB9T0EptrTUpWiaenLi+//4RFZ0Li3kLSBXJP4OLDUxadIRvrFTa3K9Q2ZJT8Ci0bYCklnFBh6kYcv2zz7Pkhd5sm1Y0CtTUbqywQJyESOZotkUsxs5lLazokkURWf/0N7KJNoVbh6viC0dWAbz18gJTAtrXCutOELGPUW0AhRxV51SGRCohZSibEJEIKWYqcxiiCgCDBPJjT84ZYt5YpLTfY/cZdzLLN5nSLg/dfEPZmfOfbj3lRrfA72dexFwmqILHozbk8m/Cjj56hNm6x8vo2a197nZU1j5oQYuMSZAbF1fcgLdB5dIH/6FNURUKc+rSfXiAIFp+8dROjsYcg1ZBkndlcYv/TM95/8AlfeOdLiGbKMOiRVGfUadHIJjipx9C+jXyniVozmHdkKlaV7cY6w4nGp+cHvHSfUKlZNHaLn3sefyVCQUBAzCFOEyRTpb61QqG+gVZbYTrI8boTxvst4iCk2+6R6xYpIZKtEAs5maZxejFEUzKKdQclKiFkCkkEnZFPt9VHyiRyUULXZHZ219F0icqGRpClRKMRg/6USX9MEAQEixmSoqAIELpTRguf1mgMqkyqSKSSjCpouJ0RuRdi1FQKuo4lKaiijCLJICn4cYAnRUSaQSTKJIsUS7MxLZVGs4hmqGgV0BQPN4kZzFzCJCVPIqIoI4xD0lBE9FOkMCGZJMSmQBIZ5JjkYo7rRgzHE7SKwe3XNrl1f5M1dcoGY1RC5pmCl8tkkoJpmngyuKMJjmoxc7tIkoJlFCiYGkHoIUkqii4hqyDJAnZsU7IrpHGCIAg4BR3FAM0SKRehN5oxODnn4qmFU7TIPYHFxRgpzmgUypQLRYgFPKmOK5kkGEzCAr1BgNvpIXgujZ1lzKKBYqoIYoYkCwhJTkpMLmR4XoBi6NiVAs5SkVK9SHW9hmqDXVIQkhHeyOWqPSEexxRMkygMXz2tjxYEnkfg60zKOpJgYeQiQaqTxBbJzCOOUxZ+hBckNFdqNLabNHcdDEdDj2vU81sMz/p898FnzC581vcvKSUSRcPAG4xptQZMkpDXXt9l940dVsoaK+qYSjpj2XRx84RZs0h9o4rbnTL+LEMRZWxVx53HTC/HzNouYbxGjogoKLhezMVxj3zq4k0nROMh6VhEWgZBMchIIFexTJWSUkQ1DQRdR8RDs0QcUgrjDHcx4+LxIVK++bnn8VciFMhFPC/AzUPWNne4/+9/iaXmCmt7RRa+w2wY8eKHY9pXPR5/62Poj5A0kTifMjjvoWoWx0+uKJg2K/e3KZeqyLJDEEfM3BHumU86irEFlVs3lrnzWpOb1ypoS2VGUo54MOPZH+3TFIq83H+Mpehcu7/7S4DFdDzGn83/DcACHFHHkhUaRoWSKKCOXaSxSWbCxBQZyBFtUeBUlDkZeQxfdHl9b4/tzQZ371cxDRHDEWj3p3TGCz56eI47DBl6HhN3jCirlNUS2dmQWZAhlq8RmjqXnsZhC/pDj59/ckR/MOXr/+grvPWVJpWaz650yp18nxx4LN0gyXUmfk4SL8jTKcWKwHKtgBcl6MMS845I59mI3teuUbYcDLnEPJ6hCjLSWEeeqwwuOtRrNu99/S7qZhExh6VuGfNpztF5m8++9xOcUhE9N8k6C1ZqdSpaCdyMfH/GpXWdqZwTLMb85Crh2eNDzh58hNQb01x+E9MpIEgifuT/omUppjtoM3U9Lltt1ILF6vVN3v3Ge9hVE6MhUpVvks0ijg+/yuiix5M//piDH3zIfDFFlTU830OYaoz6Eyr1ChdrDXymWIKPncrsCvv8pN1kPouYTH0mQcyd5TLX7mxy/81lJMmjmSZElXWu9op43u9w/vKK773/gLXjJvVKkUHniO54iLa0wo3frXPjRokl44Lr4jlGNuIGMZeJQtdyWL1RZdzt8zhcIOsyu6srnI99us+vePKPv8OOJZI5OWIu0D3t8+x7H/P2+j02hQJfKSxRFUzKhwO8mo1ryBxqOkdmQnweEMc5gqxg12yWdh2WZWju3uHkvMPDh58x63w+ig1+RUIhjTNmsxmyoVBoVGluVqnVDKqlMZVyQFjS8YItpCuHy5MB0c+PCWMPaQZxb8rp7DnkMlW7yOB8iF1cQtNNMiElzRf43RlKIuBYGqWCRaXqINdlhKWEVMrQUwdttQKXLpamUCga7G4vodVNSrKN5/r0LhW86YLxUMaQLMadCXIqIyIwms0xqw7BZEG+0EFVyASTQFRxY5leZ073ok/q+ywvVVnZKLK8qWPoGaWCjGo7VJZsfF9g0JqT9n3caUQMJElCMveJVJ1gkDFVRabDlOcHfa4GE3r9GYgSS6sNFFMnI8WTFVzRIENmppSZShWCRcJs2CcJZyzvrVEr20h6DatkctLtcPDxOcqfy6w2VvjCnTUcx0LMRVrPO5w/PyX2Q5qbS2xdX0JfU5BFCb+QMPZrJEnC6ZML5OGMiZail8qEuoyuqEhRyuwqxPq0hVYs0FVNfvrwBZPTAdFVjCU4xLMF4jgitwzmUoYZg74wyEYZ0Syil2WE5SLqUhNnQ2S5lLKr9YjEnLGlckvLObAN6t0vcPTxIaEbYmsJ8ijHDyec7F8hFMuY11aYO0Uif8Jv5VOSRUAmjDg/6zMY+2iOxdr2LYqVIo2kRTkZUdQSrpoZ1YLBxheWiTWF/uEF/rMh82pKz024dH3ufaFGqRZTNlq8XdxHDzzSvII8O0YJBYraiJKzgWI56E2bXMhY21nBuAywei6t0YxnP21RLJXwFz6X55e4T3tIb9dAyYj9Eco0xGiUGM4tXGT6qkNxrnGo5ph+wLAzobC3jbMcUKuX6HYzUrlG6+iK9Ohv2OGlxdzj8PCY2u4Ka7d2Wd/UaRRittSnOMoMwVolvr9Bbb1CcHabF8cTJt2QtaU61eUVpt4cTQJD8En2r2hHrwpHx1MPQzXwJjP26g1WqhVMTadUKJIbMTUrQZYC/LUGz2syh+NjijWZW9eWefuNVez1ArKek/giraMCndaE6AVE3SkpKSivmqgfXJ1xlVn4Tk5z4x7qhkFglOnNS3SvBF7+6UNOHzzhzl6dr/6tXWqrIut7EYoco2chBatMKlmYUoV2dUTemXF4mjAOfCaex8HhKWbring8xFCLTMcJ+ycn9Ic9UnLWN9eYL0R6XRV9tcanvs2B0CCMMl52deaRxMff+jHCaMzecoUv/q37lCoVKs0KmlTg6LTOTz894f0/+Am2U+PT6+tU1yysQpmTj57SOjrn1s51Xru3w803V1hbTchEmU6/gFnssbVb5WPTZtybcnzWYTKbEboaT5/lFIoW4eOMnWslahWHnpjy6F/9lNxLMRKFomnijWMeH15Ql1KsrQKZ7zPpDHhzWEJVAAAgAElEQVTRz7k6nuFfzVjf2aC53aBiTanpIqtKGz1fECDhLq+jOyJuVqHz8Qrh+YSgdYlj2WSKymff+xi/77O78RXiNQm0Gt02ZJFBQRQgGjGZTChvldm4p9JYyShpbeppjw3JJZK20VSZyl6J3gx0w2CaXuCNXcqVOqppExzLPPvRMca7W2gFkyVdw8AkyzZxHYVYWKZSq2KZF8TThMJSHaOqsrdVpjwPKD075ehffxd37iNLOnGcoGQRw/M2iedRNBTGG3WuVmIamyv0hjGtuoKSG/RPL8GPMA2FRrPC/ftb1JZS+oOIlc0SmqTx7MExZ63+55rHf9sq+v8W+M+B/3uX/ybP82//4r3/GvhPgRT4r/I8/87/2x7eIkQaxzSd64hmSid1KcsJpeAZ66JMLCbcKBSRPJ/yskmQBaiSwPpuldff3cAsKb8EWLQu2kynC66Oh68ACz9E9CIWnTGRW2U4mrNXKxMFY/ZUiYMk5uqTLjM34O1fu8PO7RWufWETXcvIkpRxkGMvUuwgRJUSJqMhMzumdLNJseDguh4H/ojZZyfoMVx/Y5Nrv3adj2Zzzh4cM/vkE1YkuP3mPXbXFZrLGYZ1hWRlhEKMJdsoFDATm8ANuHR9PNPC2djky281mUseZ4MJf/riMcI0Qx9DmkVkxKiGzXjY4/jbHyOczjiSBKTmEqEiE6Up/ZMjFvM5ox+fsFMucXvvBivXV5ALAbdviaTeFVu7Cjeuvcbais14MObFg2d03w8YTjzkbE6tUUN1DHB0NE0j9RIKRQtKPezXi+zdbGIoVQ6eXxJFEc/DKyJV5OVojB4EdIYznrW7GHFMtdlAfPkKZA0EgWEU8tnDZ+yfTsl+eEZQ0VGRSGOFYbdD0BuwrJe41ajStGSW8KiRUcmuaIpTREGlE3koWZGodg3lxipDFF7EAceXQ8hFFpcjTpN9PvvjAsX766SmwvLUYdi94qMHRzx7dEgqJLz2hbus7NpYJYlcEiHXIPdxfRM305h05gxaPQJ3yPquzebaOquNDcJI5NGLId//nz/j0Q9afPW/eJs339ygKutcKlPCXGTsmVw+bzE9PmOj2uTe7WvcfXed1VsVoixlfHSdxz99Qft8xIsX58yDgIKtUClrWLZIp9Wl35ugLwlUnrocDQfMN5qsr28yf3lI9+AUS9bY3F2nubyEqrRY3dSormo06qukicwH7z/9dxMK/D9X0QP8QZ7n//2/+YIgCLeB3wfuACvAnwmCcD3P8/Sv2yDLM9I4Z3A+wDmpkM3WSRwVTzGZ5iGqALqs4BQlVD0gFzJUU2V1s8nKRgPTkZFsgzDMGcRzxiOLPBXp5APSKGERJZBEeEmE1e5Ru2pSLQqIjZzAEfHmAVmWIctgF0wsx0RSRGRNIhfTV21GCGRZhhuEeFGEUnQobSxjV8rYYQxdhcXgmHZngnpsUtxaIs5TvP4cdzqjXnRwCjqyDoL6iw4AIBNUwjAlihZM5gnD6Yyhv8C8ucfWzWvcerPCKBmjT1wKskLn+RXTdo/Ic8kEUJEJohQvOMadTUjTFHW5SaZrSJJMOPYJ/QCigLJTRdMVnIKF07BRNQFZFMkSkUJR4dbNKr3LnOmpyUwWib0AL4ZUyEBIiAIfb+whxzkZKUgyipogiBJ22cYp2vhpjFLSKTablDbWsBwHc9gnGE0JLgeMz/oYskYi5UR6DgIEkc/stE3qmAxaAqkboMk2xAuYLyivVrHyFGMRoAYasiKRqZAqIqIooSYpdirQjBWaRoHE8ojilIgMQc7IyBhMu+x//JwtQUa1bQ48kfblJQcnXQI/waraFAol8kQjjmRmSgMltSAvMsmW8RYy06NT5kc95DxkbXuLjc1lyo6GgIpUdHAfzOlcDnnw7efslG+gFhxSW2G+COj1Fzz/ySPOPttnuVmk0SyytF6iuWSS5glxIFBZrxHEIsHBCZ4Q0mzWWN5pUi1bIOdEaUZ7OGR2PqU1GDEfTMi7LozmCFGCVSihaSqKouC5AlZdRhET7KKKU7Q/VyDAv30V/V+1/h7wv+V5HgIngiAcAu8AH/y1Vwk5S40G7ZMFp4tjHtkW6VurlH/3NcbZKcVEoRtNWMQaw8mAgAX1zSpvfOkat+6toRggyhJBBJZRYDH3sJWET91nhF6CsLGG4FgsogU/a11x+d2UcXuJd4TrxLs1Hn3wjIOnj1mtqGxuL7GyXkMyRPSiQeYvMBKRNIyYThactkdgOlz/yutc+7tfxigZpFmEOr3D5YNjPv3mT3j4Rx+RLCp0DJ/+kwvoz1hZX2F9tUBcTPHFCDWUkTHIgxxvpDEZ+vyzf/4dnrW77Hz5TX7zP/siW2sVttUDEk3DxeFnmzs8//4+j84fkuc65UoBdaOEpsgIcYwQgRcFTA5OGQ3n5JmIkIjkKezWHDZXG9i2jiAIr87yp20sa4GARprIFOw6sxUHuZNwdNDH68eMxYzOImH86VOev3jJ+LzN9Tfu4VgJv/GNJpnQJ04DRFlA0BRmCNhbDbZfv8PNL79HsV4lDi45/NE+4UGfoz/7hPL2GnJBpXZ9CV1V0Mc+eb/DIA05Gs9Jgwh/dE46g5wI+3odYTal0CsjTpcgh7lhIdkyqmLQTWMWoUzU8ZnOfI79OWPP551vfI3yxgpSUWIy7XPwg0/o/a9/ji7pHJUsfG/C2WiOnuQIXkTr6JJHH9aQCjpaycQWbSKhzIujK9JezMt/+pDJ6QW3bla598Z11lbr3LjZAFnichyzfk3k7LTDt7/7c743/zZOrcjjZ0evxK5ylfH+MbKfsPZbb9NYMlheLeCoAXmWsrZVZnw4xe14KKLA8soSS2/e4Nbrm6w3LSpFyMi5GmhcfXRGCYP/i7r7ipksT+/7/j051akc3py63347Tff09OyEnd2d5TKIIiXSa1PBJGBYurEMG7AB3+jGvhEIX0kyCMOGYciQLJGWGUyTXHK5yw2zMzuxe0LHt/vtN6d6K1edqjo5+KJHo23TpAZrw1ieq1OFc1E3z++c8/z/9Xm+e/8uH/zZ+yAp1OQ8pAmbTx5w40oOKSihqwpRMCDOns6V/LzH/5uewn8uCMJ/BNwG/qssywY8HTv/3o9c829G0f/5HPiRUfSiJFBp5EEzmYQhd37wgNCdsPDCRZZmFoCMLDNJQhGn5yBKGUZBI1cy0SwZSU2AFCnNkNSEJInw/QA/Tkh1kcJKg9JcGT8J8Ldijjp9Hj5KqM7XcfUqvX2H1PXIVQooooCQZqRxQhylZElG5Me4E4/x1GfkuWh6meJshcaihZlX0ISEclymJGQcP9hn6IzZ2jomyafEfZ+KWaBi2ghJjCBqIIgIaYEsMvCGIf2uwP52l52DI1w548IXLnJxXqSstViIdxBEjWGm8P1oFkVXSZIETRXJ2wbFRoGcpWLIAokn4Y5dBo6B5KZEfkIQQppBGseMPR8ljAjdCHcMmQGSlSFkEYYq4HZVpEwlTm1G4y7DIKWxcR7ICMIxnuvy3t09Op7C3/n6VU6OAxQtR4aM0zlh3O8wHEy4dPUyV5+7zOz5iFypT5j5jE5kRo7KMA65tmKg6CIrS08VorGv4/UMhE6fYE+g7w8p2Qs4fhNZyjM89ZidE/ECl7P2AFKdomqiiwXEWMYSDYJJQtAVePNui0cnR6y8doFL/8FXqNQVCtYpQWahPZfnzm8+pL89of3xJ7jFPLkwwDNFxExieueMrlcCWUKdKSNbKtPAp+9O6e2fMDg4wIhjFoobGIZBsWogWy0sS8IyLPJxjqJZ55P7RVR3hO2E6KdDxKlP/1GHQAmoLFZJrQxBExAnEUgCsSSiuRLdkcdQEOggYGka+StL2M+X0fIRC6aMEYgUNAvxRg55PuBi38BLZ3nitYmFhCBL8E5d9rY6lEol4j2JjBy+A+P+5+snwI8fCv8j8I94Omb+HwH/GPj7/Jij6O2inl1/bQlVPsdgOObthzs8+uCAk1/v8Qu/9mUacwXO6zl6ez12PzliaabG2mqF8myJXNkkwycJI7IMwnjE0Bmwc9AmLFrMXFxh/a/dwFgqIFsqGzsXOPj+A46enPB7//vHGDsO4we7rMkmFclictyjT0rZVIgnCVEEzYMhxzttWq0e4zggXymwuF5nY8GjrPdYVT2yFIoFnUB9hdl3G/zwt95APophknBhpoEciAwPe5zsFZgYwqfDYHQebna4/dEmB09OMOwiF26ucf7FOpo5IScOmNfGTEWBcZQwUyvjVTxi0edLX9lgfrHM2vUliiUDQUlpnk7o9ybsPlSZ9CZMBx5T1yWMU44dH+f+I8qdGsVlkziwWCqUEeOENE6QEpNuT+b4cMD37m3TnAxZ/vrz/Owvv0iuqONlI8aOy513D3j0jUP+xf/0x1y6cZXFuTqh77N1f5tep08sxZSu1SlcMlmdc6jkYRrqfCTm2XPOKM8a3Hz1KlZBY3m9hKSJTHyB1v4YVVUhMkg8iYPuGV1RQpEljqdjju48ZK5b5W/OGRjzReR8FWeUkSQpnbZIvxPzzvsf8cnhJ9Q2Zvml/+KX+OJzRepyCzOdMBBt6iuvca58me2PTvnot2XUbhNVVEnlhCxIODs8oLm7TZQmuIqIoKikSUYaS6RewIKqUivb1GsGMyvLVOfyGNYuujYlTbqsrjSolA3+y/LPkrcWmDhjcs736LQHbIZTunGGP/XZunPKuOUjxxnnNmYR5YzR0R7d/TZHey0K9SJzF1e5+cWbnFuLscUuVjZFCQSWCjYoqxSsOo8LA7b3jymKC/TEiMPJiLN32xztHFCan+HalXU0RaF9esb2nSefu7h/rFDIsqz1b84FQfifgW98+vHHGkVvWjpf/rkrCJKN789x+cuLPLj/hG997yO+2XmX1XNLPFgs0zlt07n3mHM3z1Fp5FFFgVF3gKlLJKGAO4pJRzkGzpSdkyZSZRF7sczzrzQoriikkod5YR5vbYb333zIH3/zh/jfeIeVyEbJafSaAd1WzNTvE3jpjwAWXRJHJJiAaBcpLs5SqhcpyWPmlSZrPGE48VgrXufRlXlmjRVWtldpfnMTRZafmoa9KfJmm0SQEUURVc3jewn7e00+fPgYZ9Tn/MsXMBtlYrnE6TQgsKp46st0BkM8P+bMDdjrtgmUkIvPX2R2vsjiRRtJTkgTEQEbXZvSak8IgoD+xIGlInY5R6BLjKY+nfGQ8LsfsLq8gMFLLF/Oo+ki8QTu3W3xnTff4YF7ygs/9zxf//s3ea3WpKRLuOmIk0hldv2rlOenbN/+mN/+9ruYgUZe07BSlzT2MEwNKW8QKyGK1MUQQvqDKns7bR49OeSl80VmzpWw8zqlGY04DkFJCeo5+gOVJMkYeR5DNaLxygvkCjlUS+Hg8SO2nAnf+T9uMVMvYgSvsrBWJ0hSDh6P+ejDx/zpDz/i6pcvsfGVKyyvDpmTHlEPtimLIzrCHB9GDfS6hlCRmAgjNDVivj7P+gsrmHmVYsEmm/g4kymbu8dMJwHDsymCL5BEGXlDQ5Vl3Cii0xtQKEnkcxmykWEXYhIhIk36fOnmRR7c7+KNplQq65y2HzFIOsxurJEpIs3BPkdbJ3yyt81SYx7bylHyI87aAw6bTXKXl2iszVOYGZAvjbDTFmbsIykm436BUdfnaH/Mo5MhTk6kcW2dV7+0hF5SaJ91ObrT5PGdA954d4ucaDJjqGR+/3PX948VCoIgzP7IiPmvA/c/Pf9D4LcEQfgnPG00rgP/TkJWlmXyJR1Vl4giCbtURBGXODrqcOfREc5wwDlvjelgjBhJZF5GOAzJfBBUkSwRSWOIopT+cIznByQIGLZJrmhj5TXqZoIiZGhSSq8Oa1eXmX+8y6mbMN31CAhQMo3dwxOsvAJpwEK1wag/wuk4DEcx07GHLCuIqogkiyhCjCokaFlAToN+EiKTYRgGmmkiazJRkDAKPdTJFK855dTvIUkKplEgjqDd7jGeOJCmKMjgpYxPR2iiiRQLZL5Gpy8wDWJaOx2GzSE5w0AxQcuJGKaErMgkcYo3BU0XyJKIIIxIBBGtaGNWClQXZnAGQ/rHR7Q7A5SsRfN4QLGukbM1Ok2H3XuPGPX6LKzMsLI6y1xRo6hBWYmxU49EEmgaMqaloZkqBSSGCcTjgDByUIhJZZOg5RL2YrSLJWQhYeIrBH0HyfMorNewy3l0Q0KWQZRk4ighTn2SLGbQHzIcOVjVAvZSEatoUpopE6QTugctDh4fMRyH7B94IEf0RkMO9xzuPT7BDRNurq9Sn6uTUyVS0SSU88SyRIyNauTBGxMPxsTTMboUUpuxaSzkMGyVStkk7CvIE4HyyEaRZNJRwnA4JAgiBtMEX4w56zjMj6dEkzxCYiBnGnGSIaoKmmkR+C55u0KnrfHx3mMOhg6F8/Nc++p19JxIlNbptEc8+PCI+48PycsWdVkkiyOEFGzLIJczkUQfXYgwpRQtViCTiV0RbyzQak05nQ65/KUrnH9llas3Chi5hIFr0lhboFys8PF3HzAdRHT6U8zU+9z1/eOOov+qIAjP8/TVYB/4TwCyLHsgCMJvAw+BGPjP/l0rDwCqqpArp9j2CZKUMD6DxnUDS7mM+88nnBw7vP9Hb34KWNhojkHaEdi6dUixqmDa6meAxfbjNmc9B18UWVlbYGF9EcOecDFpfQZY3FvJEVbXeT64il3OcTi4QyQkjEWRwwebKLqIcVdgrbH4GWDRn/gMO2MkUwFTQNQSVDHCTEOsxENVRPppREUzEMsFUkHDlWICLca3NYRixnQ6xnvkksUZWQQkMWkSkkUxqq5wsn1C72zA4Z0DCuvraLqMqCo4LoQxnL73Hl5vyIvPLVBaVimf05HlEFkWyNKEMPTwfQdvMKTtTqCU58pXn6e8WMVaWyBKPSYnXQ5//wMmrTF/+PsfMBxcZXa+zkd393jjzXcQGgVe/fdeZuPmIjnNIRGHJFmAGp+iCUXcaIpISBA6eJnD5bkahwML5+SUkq3i9kdsfesh+iRmttHArqV8+80DTj/+BGsyZePSa9jFAlkWEMQuiiqRJCF+5BJnMScnTbqDITe+eJ2LP/88sqEws9bglVeu0Xlyyq1/+TbNo0N+74/eZ+P8Ms5kwubRMa1Wi8Vzi+imSRLF9L057ss11LiK4Y3ohgp3Do44euOQ5ns7zCgqlWKBV3/6CivPz6AYCfV6nu5RynA0YZykdI5HdA76ZIZIJol4ssxkGjP95IhpfIpzuoEhnCOdz2PoVdSchO/HKJHEe+/scOden3dHO8xuzPB3/sHfYOWiQM6M8IV50lCht2vzB//4W3S3W+wfnZATYjJiTvb2CC2BGz/1M5DTINUZdwXcocnRyYDf+dc/ZHO/x/yLF/j3/+tfoSCf8oXaFCXq0RVtSisNrp67gGnWObx3ypPvvY2e+396s/8xQ+EvGEX/z/6S638d+PXP/QvgaS8gzRAEH0MIngEs/vrPPMf9e2d/IWBRLMrkc9ozgMVkEPylgEVeW+DEfRawmD9XxZxd+AsBi2K+8HT2wo8AFo4n0xeeAhajxGccmYhTg/6TwWe4yMyFFS68fpFKvYSQgeSITLsBO28+ZtQ8w+20KNQtRFNjmnpkjot/dkrvwSaJIDKNRZIQ0gTUSMRUBGqqRhpmRD5kmQSZSOwljHseg9aYw7MhnmEwd2GZq1+9QGneot7IsNIE8+YCd8oG249P+ZN/9aeMvh1QLVR4vLeHOFOmvDyLotoMnYxmtYFg2pwR4sXLDDONw8OYJ3/6PicP79OomPTKDabtA+aXStSKJrNSgXYn4M637tFN+pSX8jx8f5/gcELNytE7HeAOuwhChhzJZKRMWi5n2y5nR0NOx2Miq0hudYb1DZViXqJh76FVdbw5jYJ2k80n83z/d9+g9/47BIHAxJ1ClpCNPbbeekJxb4bh7gStaCNqCqGn47seD+7ucfCtN1GdKeKMxtLiPIsbS8zUZXRDQBAkSosFxsEUDRViifbUxVgtU6pVsK9vIEkSo7ubbO3scth6TBrl2Lgos7phkaukuJ7O4SdDvvUnb/Nw0OX5n7/Oiy9e4ks34UruCD1qEyc+TbXKu2tf5MovfImt23cZ/tFjlEwlpxcYnCWMxn1u5x/g/71FzldtFo4T9k8j3v/2Q+4dHCBUbX7hV79Ao+wwG/vMRnfIC13kaJaDqEqrZCDYGdOkj5GD+dUahyeTz1WPPxE7GuM4xvdBxkQVVHw/IENGVgRKFZ1q3UIVUrIoQJRlAlVkmEx4dNSk0BMo5FRmcg2yRCIcekRuRJZkqLKELIIpq4hiTCIGJMhIkYghqMhCSpqCnje5cPMSymwDWU2Jw4D6XA1RVnE2hwz7U6SpQxx5CIpCMpgQTEImkcoo0RhKBRzZYDCVGXV9znZbRD2Xcr3B2uVznP/Ceco1G02S8LshbjNm8KhFNBwQxQlz9QZmo0Sox6hCCo7DuB8wiWLagzFh4JNlKZJgYCoSwdhj2vMYmh65qvXUF5gmjJ0QZxQwnEYIpoVdLVKqadgFgQV7TN7tI2QutfMWY7NO48N5Ro+6+GchjjOkXKgheDHuky79acqxbDC1VKRMpj+JGccCe7eO6T46gb7P6o1FPukOAZdavcz8TAnDnkFUJhx1+zy4tY30WCE7dbFiHQsdwY1wmmMkWQBbQxAEet0J3e6Q/nBEKICcMyhWi1j5jLIVsSYNySSZga0we6WBZ4mU3qvQ2dknnKZIiUQkZRx3epx5Ewq7RzS3ZlEKeQRNJU4yoiBk2OzCMKKSK0BZe0rR5RUEOQYJBDEjc31EISOMQ0bTIaEYUZirUViYZebCArph0CZh0hnSbXW5+94T1EBCtxeoCRZjN+HRXov9ZpPUVNm4WGdlJY9lTJE4Q0paVIMSoRxjGSKpmuETEvseldkqpVwRzRXoTwNuvb+LeFVHOVdjtD1mZ3/C/Z19QjGjWi9RXmzgKhmyqBApOQJiwtREEDKmEx9nNMCfDrFsmF+qAHufqx5/IkLB90P6nZSF2jzt0QBbhTBOKeQNcppDxVQYCRN6UY/zV56jsL5O+ilgsf/oMdFJizrdzwCLXstBsFTwO4RTnWkoEcoKsWoRoqIqFplUYnp0xsFWm/rr15n9xYtUK9NPAYsS6XiJhcvz3HnnmEd/8BHd0x3sgsp4GjNtjzjYPGX2xgt4Rp2utEgr6GFk52je6/Dg23dJ/SHrP/UaV7+2zpe/oCLHTVTd46C0yJkZUl00ONmcYs7W2bjewC4pLF2aIRVFWh2Hactj0HXYf3BKf+oSBk97BGIoc7TVo/reIUI/wy/nKBdy9Dt99ve7dLtjhu021twaaqlENS9j6iPWoifMayf4ssXR0g282RlWHqzz4eYp7mhCEnt4g5h0fMZ2d4xlWRxUGmAaCLpCbJr4kymnnzxBaR+yPDfL0sIib93+E1ZqJV776SsUKgZz8/O87Jn0hyF/9tYnbO8d4h5P0LDIPJEnjw6JSFBUgcZMGUs3mIwD+kcOvfaUWJRRiwXsso2ujSkKLufGH+KbMplik9U0jAwWr6/CowPGzTHzpSpizsCr6qh+gBlktDa3CRAIMhHPT0jjDN2XWMpVWGnUCWoa9ZqNaSlkmQeCRBwJ9E/OGHdHtLodDjtnqLNlLv7MTVYuLFBeEsjSiBeu3uTowiJPPtzkwe+8y1nzY3YHDvV6lfZoxIP72ySSwdLKEoWFNSjXOQmHKFodLRVpFersBiJbnS6bH7zP8Yf3qJdsrr+4QrlSoFhepjcI+LMPn/D9//V9HlRKVFODfnvM8ekJcxvnqFfqdFsOYr3EbaHCtnQVKfNoDgW2eyLtt25z99tvkvSG/OLrN7j20gq/+1u3P1c9/mSEQhBx+qTNYklBFsCsykSpz9QL8SYh7jRCzMAoWZQvzVK5WEOxDCqOgawkjE67TJ908QdjyvkMWRJJEfA8j6kXMnEyHEUiS0WSVMaJBUQ3o3/aJhq7lEyLct5mTo4wpTGmEuPkFPSqTnW+gm4beGlKEqUIsUD/dMzJThunG2DlVDwZDLVE97TP1qPHdLtt5hbrnF+sca6sssQAXZzgpy4DTWJi5ggziUxRmCkbzC80sCsq9UaZRABZMeiEQ9JIQLeGpNIUUZfpux5CGjIepuiHOlMh4/z5BaZjl3F/hO8ERMHTlQhFUdBUGUkGUUzRCVAEnxQFVYxQ8KnWyti2zWTQQ8oE/GBKGGZk/hhRlIgPmySmRiqLJLJKGqZkrQnnCgZ5XeePbm1SEjUWqhVmFqtoBYXGokEaqzQCnXa3ghh32W5NcDpTIjFm2AoJTBlVEnGmAQUrhxirJJOUeBqRJiCKIqKQYMoGhuyhSSGCJGDw9HtNVVBM/ekqjiJhFmWsqoU2V8LIQAtict2nfaCJFzIKI5I0hgySOCaKIpTQRopFiEDSFORUJYwyskggCTLGEw/H9aFQo1AzqNVU1hdS4mCKHE1RrxQQsjl2b1doH/UQHuxBpHDc6dJsDpitF8lbBcKJiDuSGah5cvI5pKTG2M04ciKaj4c4W8cowynnL66weKFOsWRSKBsUXJObzPHW2wcMT1pMEw13MCVNQElFkpFL71GHnG0SWDZOlicONQ5PHfabfZxbe6Rtj5KisbjQoDhb/Nz1+BMRCm4Q873feYQ1zlFeLDASYpJIxDmbcPfOMQ/uN5n4BrWNNRb+1heZ39CoahK4MZ3X12juD3n/N28xfNJm3D3DzAQ8L+Dg0RHoBvudDeqVy8hZGUG1OHRsBps9br99m9n585y/tIiel2mkDuvZI8qCy4kyT2tuiUyc4+6fmUx3VexcgRV7hnZXZv+Hx9xb22V8bRazlmAYGlvvnPDRD95n2uvyxZ97iVdfmefK0oTL7tsUNYVjF/rSRVqpycc7p/THI7760hyXb65QrOgouZgoSqhU84TjhKkTEMUpp14fK70o0KUAACAASURBVJfHvnkBWVWZTqd82Ovy0WCbxc1HFHWb1co83iRiPJ4STgRqlk7OUtEU0FTIpw6G7CCSYmVD8hlYto2QJCgCXLl8GftcHUkQ0dOENEwYtT067hjP92kdnCL6KdXMplhSeOxLiMchL21cZmmxTGWmhDmbpzGX4vk94jDhb/7CAi8/b/F71glvvfUATIvISLl31CJLY8qHxxQ0k7JYwETHHUxIwxhFlFBFATVUERGZEpImOiI6wjjGJE8ayfRHDg07z9LzDeZmZ1leXiSXt4iSkP19h4P9Jt2zAcfOMVEQcDpuUjZnOGyesJqrEQ9TDjablGsitm0wGvr0O0OaRx06LYcglphZOsfFjQYVO2BZ6WAoYzIf5JUZdDvH6ehlHn9wQPNbt5ie3WKSJSSCSOe0iy8kdP0u9eUF5PkShXoJb+qixBKD/oTu7Sadtx5SbeRYPj/H6vUZqrMamiEjCybnr61zdUnj/Q+3eePdTZJwiirKnD0+oLvT5ODBAfFvqZTyGqqRR5BUvHHCuD/C2TnjUm2RxVmbmWqJ+trc567Hn4hQyJfzvLW5RWs04er1ixR3/y1g8YPbmzS7Ltd//pc5d2ON1Ss15kpnlJM+s7UJezOznC7O4bZvslfc5ejbTSxZRQ0jJnt9jpJjHl7v0li8SKYUEQWF+9tNjt9+zP7mNjm7zLC5j+BqJGaMqshoCJTihAsFg8xcIFcrMrINjKLBwlyBQlnE3Wtx5xtvcnK/xsrVZURR5Pj2MUo7YqVQZW1xFlFKmSQiQ32VTFUYSyLHOzH7j08YHx9RMhWKyxXM6tMlRllNSLP4qchMhOdPaQ8d7NU69cVZyl+5QqFeAhIOPtqi3+xytLXD7tEJ+1s9ZnIFbMvAnU4IAofpeIg7DlFkkZ6Rg8wiyiziwEbwcvS2D2gfn7JarvHiq+us3lhAURRkRcF3Q04etXj08AjX9ZC8CHccEQUZH5+FSKdNFqsqRrlArKskmYQl6SQc0TCP0G0Nx5hH0wxeeamGUPgSo5JMYb5EPE1wR2O237tL86TL6ckJtWKeIBHR0gQzHdLtHjKYnMPIi/SMOgkak9SmlK3jHHY5vLUNRp7qUo0XXrhIvVGksWiDrBAlFr4cMmgnCKbK/YnDJIoRLs8zsYrImcRRZ4teZDKZOMwsFDF0BT2R6I1jRuMIZxjh9CdcsBXMnIZdyCi4u5TjFqmtM4whKOUx16vMeT7OewbDwwmiImPZEpkhMR05xG9P6L53TGboeGJGggCCjphC2BmwNDPD+aUZanaRmZkZcrWUnHGKkp0Q6xrqSwVmF26Q+QoPH+4hajJ2oUiWJBgJ+P0eo1FMJzjBC3yiqYAWWpjClGJ1DqNcwCPDkvTPXY8/EaGg6wr59Tn2dtoIW7vM+CUqxRyjdpNWfwBWnvnnKyxeKdHQpyzJfXLZgHP4DEUT19QozljoJZVpElLJ5VEMnSjMcJojBg8O8G6ukBkxgpDRe9Tk9PExJbNM3odZZGZCASuMiHMGjgotUccxBKRAQBAUJE1GycmYRRnZhjWqPDo5pr3roiogyyqjwx5mrFDR86ipgtANmOgavdIK4zhlEEWkscK5ismv/t3XOXpyym/+i7f53idDlr58iZ/+21c+8x3NmzoXNpZZvzbLhz/Yo9922Pxvv4HvRhRLFRI5IPRdbEUETae+VmHBqBA5Phvzi2zdPcYdBnx0fYn5czMsXF/HCicIgUC5qREPJV4xU8YvX+Xeo33+1TubvL4xz8p67TPfceHmCoffq+DttZju9DALBsPTFjVBBink4vU1zn+pxqVr66j2mMTrsfmOyJ07MgeHTX7/W3+IUqjz9f/m7/HlfyizUJaRgwwrFjjs+nxnxuSj97ZoRpsULYNKIc9CWsBPI25/Y4vLl5cwF1PspSKlbJOt0QFKY4nQheWLVdz7d1EtBatsY5RURDUjiWPiMMEdh8hSmdHggCxxsQsmPVFgIgsIUYQrelhRwPPz82ysbNBv+7z18CH7D3aZuC5LX73IzRdf5+W/9Rx120GKhgz0ZabMs+kV2N1ROdqZ8OZv/J9Eh01eeXmdjV9poOsKbmzz8b0Ozd420yCmpOaopjYjRcY77tG2p5grM/zqb/waX3vdxExucTl9jCPf4SCa40H4VR60LB79wX3+9J/8L6hxyo2rq6SKRCGngj8gnPj0By4jISUKR2SuROZm1C2TKy+WqTQuc+P1C6xdLVFedqjZH3/uevyJCAXDzvjaf/rTbP3TH9Br7nOwNcKpFDmadPBzIuvXlli4nrC8cMRrxU8Bi7RM1TlgVkyIs4hv/sPfxs1caqslxIUXmCQJcesJM02Vj77zwdP/7n8KWLz/ww9INo+5+OJlZvM5lhSR5bMhpmrQHM8zsWWOCzaCq9EKXOSRQ04pUFtYYP6qQLVWZKlVIPtOxNlBh+EbWwxUGV3MU7bzGFaBZOgyvK/g7sbkVqokismmkPKNPzr9c77jxnyF5b/EdzzK9zkd+c/4jkq+TGfQe8Z3dIQenjN56jumKdH/zXcMtCpaEj/jO27uDD7zHV/8+RUsLXrGdzR+ucbpTv4z31HNWUwLNkHg8caDTdo4HJ+5fO3l80jA6faIva027c4I1a4xu7zG+bV56vox+XDEgtpGNPJgaNz42jpq3ebNsx5b729RUvNMpj5jz2Xh65cw51XKiyqFICJJqswWahxMFLS+R+/xEecvr7C6sUh9vkqxrGDaGZETk2UZmioxmvQ5c1qEmkpxpsbll69gLy0gCyJbb9zCGw347p/e5U7+FDcUaI/P8Ic+oiAT9CKcrQl33mizvFpFN2ocShGuO2GvOeb47VNO7x8y2T5kfXWW5764zvWrc+TyCqpR5OprATuPL/NP/4d/Ts8ZkaY2kRAzFlN8JUB1LUZjj0dnE16qWkRZmSjNUFnEmuaJWyL33n1AKW/QKOe49PwKX5itYJsKWRjjOR5nJ302n5wyGbhMopBIFdBkiUnTw5JDXCdg0J8gl2IWc9XPXY8/EaEgiQJ2Nc/KhUU0bcru3RFDJyPLUpRUR/RUvKFPUJU5ixJquoqMSphVEIUKUpJ/xnec2zhHJKaf+Y76gz6n9zZpSRJkEl6zi5GleOMJo67GoF1lOCfgKhF61SSMJWJMBNEkGHsogoiuqximRr1eoVLTSLKQ+cUyQpLSPRwguj5+5BCIIq6r4owDouMRai4hrxuIZsKtnS12H+wiBMVnfMecpv6lvmMUZn/OdzQqFoadPeM7hjFEn/qOURAgBsIzvmOsa0ih8ozvGATTz3zHOT3CVrxnfEfZsEil7DPfMbc0hzJXwgh9OscHHDYHhJHI8wuLCGlG+2SMPwUh1UhFBUnTkaQYI/XRohFF4QhPsJGEAnppAaumk6+X6CEwnfjImU7JyCFHMmdjj0po0dXruO0YUSpxdDzg9GRKbzBibrGMaWtIKmRiSpJmT2dmEkIaM3Idhu4Eo1KltDTL3NVljLkysqgQDtdxjs5onfQZjzp4mUAWOaSpgKyIjDsOaSIySUSm+2N0WyfWJDw/5LDdY3T7hOCgS0nWqBZtrJKGXVXIWSm6HRArGYE2x9ILlxgcOrTvnlAtmSRRROx7eM4Ib+Ljxzl6kYoh5XESgXGap99PmTRDOictlkom84tlFler5Go5NFWESMCxVMauR8EyCYcBWRIRJSFuItHsBoSyQunYRrBLlBarROP/Dzcv/f9zpPyMLNL9xRvs7ir4wUO6Q4fxaIrsQe/ulOY/u8/Ri7M4v3aOej4kn6nshvDGfxfwePP9Z3zHazeuoZrhj/iOV3jn+x8yftKiNB4jTl0kRcTvDejGIbfelug0E7TKlNmFRfanI1qzJYq5KsMn+3QPTpirlZhfnOHChVUq9RGNxZTaTIXeScgPvnmfue6IO/e2kQyVVDf41hufcGljhU/297m8XGNubo7f/sG3sdsigZs94zvafvSX+o7H2x2GW8/6jjNzOaLYe8Z3HO66xH7GcDLAsHOYqvmM79jXGqRB8ozvWKzneOmnn+Pmlxos6U3K0vAZ37HvK8/4jvNffZH6lSV0XWX//iPO3tvh3pMT/iD5kFqxiJIJTNs+g/6IYtkiX9BJM4+aCXVBYkb0aAkRWgaqAqqqYhUM/NDDVlUUQcUPQ5I9iYMPAoSohrt8GSNYJusZfPuHH/Hk3j79dofypSUKhomSSoiRiCgL+J7PeOjjtMccnfU4c13KFxYpX17kxpdnKFYyCppOevF5OicjflC22Xv3AK0/YrTbQa3qiKbEaNhm1D5Dv7/P49RHUGQmiUgiKAi6jtZ2mLEMrlxco1zNky8UsGxQ1Smi2KJclek3lnjhP/4ix49cHofv8eDebWbtBlYK7l6PnQ+bzD33Eg9yNsPiIsMsJvRy3L17yub3nlAg4sUXL7C+scDFGwsUShJZBkmk0u9NafcHJHHI1HVwtYyokENcrDIcjDiNHFrvfsLifhFd/DKFq3/FnhS0KCVnBWjzs4jZGt41izsPHtIfekzSCNd/yJt3RQr7OfSd57h68TxtJWZ8mrL76Ii9/WPsmTJLVze48vIS52d7aOLJ007xuSrm7AbxvMHpJ02O//BDpgyRJ+Dic3jcYevwgOr7Ni4imWohaDpxFhOFDsEwpGIrLN64xMxcnXyxgNMfkKspzJ/TqNQ09nccTjijUm3zU1+8Qm2xjDGbQ04EXgnOcbbfpd8d89XqOq1whItPGkGYJHy8t4M6L5NosHx+CWZypLZKL9E465vcf3ub/uExeSnhlVfOs3Aux/olidmqQBxKLI0ahOgszi/wyXe3Od45od2ROHYcAiehf9xBcCMef5BnK8gYjT0+ebxPq93l8LjPpa/cYHZpCTVX5US2GIs5EEUiRB7GSxze79HaHtDb2+bK66/w0t94GbOmYBdsLlyepb9yic1bD7jzxkfI8T52kmLrRVIvIBpPEdIFothnMpmgxAOGpkgsP92FKXoaohsy6vTI2RrFfI5ypUYqSTTbIz7473+X7YUKhfUZ3MosWRgz3DpguHtI3UmZtEeMrRyj5pDQEolMjSBNGPZcui2H4SggQmX1hatceGGNtRUNO9ihripkdZOqLdP9hStEg4TJnZCyPUfhQg1rPk+lUUJJRIgyup0mURyw8/iAyXgMhymSLoIYM40NZoQKsSdBJAAhmuZi5XOMoiNefv4aRTlGvjLl7PYtEiGjUalwNhzx8N1trIszrF5cIlk2GSZjvIHPx9+8zcHDB7x4YZGNC3WWzlUxCzpmLiYMEkRRAlnCi2KGU4dJFFA4v0pudY7qq1eYBNOnT0E/+JjRgyaF4D5Ccvlz1+NPRCgIIpiWzNgTyUKBaRwznLjEgozdqBBKMUk4pj31+OCjx0yGKTldI+6N6PZHDAYDrHMNcpUChpaQl0aYWRcbB0FUqdlF5momWbXISDMYugrFapHK7AxawUKTQAtjSoFBJxwTeA7OyEXOFBLPJW/WCSOf/qhPFNWIQx1ZUskIyEQNUVV458ljCnpGrZGnWjHINSwURSAKIUlSEkGk3XPwow5e7CNJFoGQ4IQeeydNIiXiUruKpRv4eZlpYDNtCwyfdNGJmZkpsbRSpjojkq+EGFZEIAQUTJNE0mmUMip5g2neoNeXEFSZhIxWp8t4PEbLQmSKuNOIg702nV6bVBBRNRPHCWk1Q9JGgbGgMRSyT33HjL07OzSftKjMXqRRnCU/G7E+A3JygiqLHF/RMAor7D3ZZfygjxf5mGqAP5ogVyWm/oBJp0/8XIF+EnKoSciJjUmdtDeme3TE3uGIfD1PZbFBebZKmCao+SmdM5PhzpCzD49JNmpPBwp3PSw3QS5o6IlGOI7YP2xi5VQWi3UODtvEfkrvZMTE90GXkPUQq2AgTlpcsfbJyyK9aYhUWEAqz6BbCqfhBG1OY2m1jl1WWVwroRoqgidx7/6UMMgYWBMKYkbTGaOnIpor47VjhnmfiRcz9AXqRpHU0ci8HlajQCHoUyjInJUdtJyBlAsp1lYpVJb5eP+I9tsnlLSQnLZA5IY4+x3ODg4YtUdoVzdYXF5gpm4jiQ6qFmNMxwzTPCIZhUSn6/Rx44ja+jLmaonzKwYTOYeyaHEgmhzd22Vz8wGlj2qfux5/IkIhIyafVRh2puzsu/zxG7cJ8gILv3yNv/13f4pUjRjGfdpdn83vNLn1e3dI/ZCclif0jglJnvEdX5IPKY6f9R33CyHup77j+lyD0nzuGd9xMAxhnD3jOzodD0F7ejdz7xzScT0eVg1KpRLKWh+1pHLPTPnu43/rO1788nlKJR1dS/GCBDd61nd04jHTXPqM73h30OLw7vgv9B3PrVZZP7/2jO+Y2jGClTzjO5707nzmO1576Qpz89YzvqN8mqKEz/qOB3cfMzxqI+w7HM/NEZM94zu239wlmLSpfekKtY0GlYbJvPwQWxpiWyrZhQ2iSo2bv/I6m7UdDt94H7fbR9NNwmZAJ+gRNUX8do5K0WIwFhhKJqkwy+PNhDs/PKMyDXjp6jrLS3Xqa3X0nIWeXiWYRIz7Ex492GVr85h2HOGoMnIoQDvg1q0DSlWbWjOHlZNZmRsSepDGGZNhjOeE6KUimmWi51SKeoItOphpipKroQgK88U8bwxbOILL115d4eVXlyhWTGozBTJRYNrXceKQ0dDnYK+L540ZmR6tsYuayswZNQw7oZZTsWUZwoQIAV9VkJ1T1krLpGKO8+fO8UQrMNewmJuzEQSZ47HO9q177O5NePHLrxD6EYPjHsODESvlOWZnVxhqOSLFQK2XMMsTFEmn2Ys5Ccc8GjUZThNkM8fatQWqGyWu3axSsTJsStypFzl8bp7v/ssu33vvr9jqA5nCweGE77/1Id+5vUWvIfPyz77ML/2H17lR60PcJ2eInMR57l6+zru5JQ7u7HDy7h0MSUBMZJ68vYM3SVherTOYWcC3XPykSV4EQc4o1go09weEYsDSxVWuvbDAlRdWMHISgq4yHIb0mx5JklC0Qk4etkijkLGk4gkZp/v75McterrAq8/VkKoVAitl76xJr9chZ0ssrjSwKxaKkWHYBuLUQfREhOzpVu7TzgDRLlBbqHH+518jVy0RxjH7737MeO+Ud+8e8nCvzc8FJkMtoXX7kN7eMa89f56llTJSOSXVIwRBQE8sojjBGSSMvBHvf7zPezubKJbBtX/wc/z1v3aNkjZllAzpBSlH74359m98k+nJkHAwRdNUpLzOuDvAafdobu0SyClhEhMLKrKkICUS4smUet2kPGOhVhWMYMKs1KEitJHiMWVTYZoZXPrKCqFt4J026XzyCHSdqpmhmjHyoIs8LDIeuVS0Oppu0ukFjG/vkt3bRZi6XLqyyKVrSxTnNURZRE0dLFUnCnXMxRS/XCCfpuwdDRg9OUXMUiRBoz+M2dp5SEzEzEqFpcIcaRQTxymeM6VarpClMVKWoAoJETJOJuElJbqRyqjlsbe3hxuPmVlaorE0S76gUiiIRFFAkkxZPFfA7uuc7TdoSzIZPqfET/ck5DRURSFyE/yBSiiBXK0SlfIUpAFxdEYlV+f8soZqusiawcKGQamYo7B4gfsP25w0R3z0r39AJqikQULiBAT4tJsjbt85RW4aWKMaQz9Cn8Bx06F91KF9u0+jWCdfLXL1SoPSqsxacUzJ28SQEybnZqmdm6fpvcLH/9tfsVBIEpHDI4d7j3Y57fZpvLjC6nM15udiGhyjCi2EzGKU6WT5BaRGDqFkkMoRqiGRlyyCkYR7NGbng31aNzco1mZIBJ84URiGLu5UYDQakmQhxbkSpYZFoax96jsKRJFAVDLRNJVUEQmikEwWUOsVTNuiPzilG8c83j2lbqZUVgo4ZYmznR7d01PmbYl8wUJVZQQpQVJkZDFDFDLSMMJzA/pjH6tao7I6T2Nj7jPfsZhdwplr8MkfvE1nv83VrTFjw8M/naAlUMpb5AyZWMkISUkildTTiIOE0NcY9iM+unOfiRhz9doFXnhljoXqgHzWpqYlzKAyPihQKldJewm6mT71HeeKaEKGkIEQwsAd4nnBp75jhBCLWIJETpZQRBHSDCtR0bMSihwhZzE1MQA1o6uFlKsaxYKJp8lEWYygZqiaRDbxkX0RWdLJkhQjFFF6IeLURYk9BMtArdnIFRPRShDEGD1zUZQY0TQx58tI6xbixCXc7+B5LoIYsdAwEQSRydTk/6LuTn9sye/7vr9rX86+9zm9375993tn53A4lEhKom3JlpQoseIkTuLAQBDAzgLkQYz8BUYeBHCSR0YAO4EdWRZsmaJIUeIicjicfbv71vt29q2qTu1LHtyRzdZIygTQA6aAxmn8Th1Uo4Hv91T9qn6vj+O5TJ2QfGIReD55M4eQJJBExAuXcOERxBIzuUyS6vhSjXFiMJrECLFA0cxTrNYxczk0Q0DVAkQ5Jp9lLIkmOd1gsNZAS0W88Yg0iPDDgPlsQWE04/RkgqYWUQ0V3SgRixoiDQJygM7gZJdgYlG4vkltOU+xrBBKCpOphi60ePBwH9f1CZMYQUixfY/DvWPE6ZA0LyN+nAOjhhZAbzJnMbFIz1w21orkCgWKSkpO8NFjl7buQeJQyhWIMo/6Wo1cK/e56/FnoinY84hvfPMOd54eU1q7zG/856+zeqUF6TG6NCYnu9hyEUU1yYklFs59ppMjMslleatKo9riYrBEdzzlB//8h9jhhK2Xl/jSV56nkpMpiCWG+/ucPu5SLKpUVlRamw3KTRNBCkmSBMNPmak+i4XNWW/OXEhpPneBwo2LlDfq2I7F7KjH2cd7/MEbDzjrh/DiOsP7Z5SDhGarhLgI8S0XRYVFCu4sxJpH9I5GnPXG9O0529cvs3p9hRvPm5QKKU0tI9yqMxhXUIyU+2894ls/eoNSIU8wcdiqraKHGeHUJgobhGJKnJYZ9GVmU58H94fcv33Ao70TvvC3vsQrv/hFXtlwuZY+YEmdEck63VDkLfEGmqkRpxErayWWV5qsPr9Ko64jZGBNY05PpzhTm8P7RwR2jBMnRGnIeD6naS2YnfWJDjK6VR3PbJLXIzqmQz2NGchthgWRkpgSmypdz2EaVpj3fd7+3l3kmc/6WhuhLWM64Nkx+8cj7h6dsvHllzAurbMogaQuKJdMWlLC3J+QKiBuXMBIcpzcfkB40KcTQn21SXldppCrsra8wtR22Zt2GZ2NcGYz1lbbSGJEHNks+kOc8ZTZQkJQ1nHEGiNbYOQIvH97j9BKaBYNKk0dOe+RaQ5oUxQCZGoUzCo5OaVTM0lmNt8bDRFrJUqlCpPIobezx/7uMZe3W5SbTSrPX6IhFNmuXcEdC/SHAd/7nY/56o2/wvqVCjde28Ys+mzMi2xvr3L/x6cUJY2P7+8yGM8xGwaWn3K4c0JO1NAUFT8OGQQWcibhiglCmrIRiKxea6LrKoUkIu+H5O05eW1Clk5ZyreYe2Pay0Wq6/8/awqeH7G3PwRJo1RrkKo6TiJiSCVGtJgnBoGUZ54UWPQC3NMh8XxKIa9yYbtDoVBClVepzcrM5ZQnHx8zmtnUWku0OgYXdZHT3SHDkwm1QpFCSUYzVCRNJiNGSBMEISOJffzQYzqfIeRMKtsrtK52MNZKLMltFst1cr7A6OkpT58OCQwFaXdAWZAxMgVv7uDNPDJTQUgFbCtmPvawpgtc1ycipVAtUq4VqBo+VdllQ/KYFQUyVWPjpQ5+GNB9cshkOoJFwnIhjztdoGsSw65LaAgkus6ol9If+nxyr8vh3ohiucTmdptcRSJUBIQsQ5AyIhR8QaJSLBCEHokQsnlp/ZnveKlFtaWTZRndM4fRIiRJUzRTJw48AjsgFgWSJCW7d4qy8JgqEouvlhBjkaLWwQkcFKVIWYi50PPZy5rsBDuAiJgWkJWM26f7CGLMzoMT1m9eJxxN8LwFg+NdlMQiVzdISxpGW6at9tDSAak+JJV1rMwmKScoiY/f72FPLAyzSPNChytXixi6RpIkOF4e4XGVx7FBJpmc9Cw0WSWyXbShyMGDLjdefx09CpkEM0K7gb3fJT06BGFBvrCEubCppwm6NEfWbBIpQzdCgolOd+wzmCo87S7wFybVK1eodTQ213VGc497BzvcvT3ADOcsnYnUwsvs1ncpZWV27+wQHvUwbnYwO1XKlSKqFJNrFlkkKebNVQpegrB3DKUiYqeBKhfpFGUulXIEi5DjkxH5Yp7ekz6mLUOWodZKjC2fZjWHMJhiKBoLFIK1DqmQR7FtlhyRmS1yFfWcqPwXbT8TTWE6sbHUD9m4vE0lDwd7A2bzmPDqOoeUII05Ox4gRhKjjz7iyXffRI0jnv/yRb74leeo1nPnfMd/9n9/m8Gd3jnf8eEfP2K4s8vWS1sYqvIZ39EZhp/xHa9+aYO1W898RxEX9eZ531H6N3doKOY53/HDt3col/IYkoSfpsz71jnfsbXe+YzvOJby5MqdP9d37O5PcKb+Od/x7HSKNV+c8x2VYuPf+o567Sa7hOd8x6NJj+RP+Y6CGECmIlDgeLpAEONzvqOxWSMKYj5YWIhv7jKTM+qNyxjrZVxBwU9lJEWm+37A+z/e5829XWqvX2N7vcpzP3+VSkHlyfCQN7/1AY+eHiD/myOagoaMiJcGqEKevKASqinTcMqm2qemh6ixzCJuklOr2D2TRz+4y867uzSrNW5dvsDLP7/G8zeKKKpEFPjEiczmzQvceesp3SORpx85dKcJQiCx37vPin/KEzXj4+1NHFFhNLyNOAs4+tEdbqwss3ZtFW1JJjUiYiHCSCVUQcIdJ4x7c+ZTgR9/8gkPD/dp/SfP8Tf+9q/SbkJVOiVE5hX3Kzz8/glPfvyUnbd3ePTmT/BqVRQyQtdia7XAygVY0kVSNyBRQDF0KiWVVjHi/eltpoFLvlXi5375NCUTuAAAIABJREFUdeSNNa4UNczxGGs0o7hXYjJ0EIoBXhqy8Fx60wGKLuEQU39skAg1Op0l4lAlzhTkJKSAxLKccFDWPnc9/kw0BTIBJTU5PegyHjlU7y2j5U3yq08RTBlJkgjCjNhLOHjnAZW4wOZyjZvXrrF+oU2xkmIWIshSVkYClf/qF3j8uM8/+603OHzwhGKtQDIOMXwDeSYTHAfYeQeqMuTBC1J6pzZ7Rxb9yQxPEFhZ77B2aYN6O+V6cUGFCVnRYF+W0ZdfZiT7fDJ4i+nYZjqbI8dFhm++T6NlUCnkubZ5kch28eYew7nPYDRBlU3EvIKiC5hSQIGAUmwhKyZe4pIXBVrNJmalipiXcdwIO5oxOrSRTgTM/f1nmQ16njhOiaKI05NjdFUlW6Sc/mSfyYMhlWvr9AsqoDOaa3hBzP0fvI/qpTTaDfIdgdK6RLksI4iQZSKhl2AmMXPXYezY+JrM8s0t1n/+VZAE5taY/s4ef/jGHaoCDK9f4NbNZeRiGcdd8IPf/Zgf3nmIefMCf+PvfZ3OepVtcx8tnXNDLfPCC3+X4VnKt/7377K4v8d4NEJME4jg4KMddj9eQ32uSFrOYzNlGBU5CpYIojLv3Oly+O5j4q7NCy9f45VXNnnupRyNlRmqKBAuYoTMpFxvok1r7Gkh49MZfc8nETO6fZ3owCY+fRf79RGCapJNfJK+jdFLaG2ZlHQFoZDDT2OyMIfhqMSByGyW58P3zrj7oMv7u/epXVrlv/5vXuLmBYdydkozeUoo6fzYepHc124gmhUCO6P/zoCOO0DUi1gxzCcCxz0ZXT5l76lGoWgiKQmTYZ/+ns1gMMPstOhc7fDC128gNjK283mS/YjFWMUJXdRQ5mm4gy2mZFUDrV7nyXCG3LWZvTHnylmHnGAiX1tCUnVUw0cMMowgIfM/fzn+jDQF0GQNN/JxZnOkQQaKRO+wR6SICIKAqJooyESTBe21Eq2qSTFfQlIlMtlHlKdIUoIuw9pymSwqsbHc4vTEYnAyIhcb6GiIgUzqipwdTigv/p3v2O/azMcOrheRCiJmOU+uZIA4pBQMWKJLoJmc5vKIWYX6ZpVcq4QfJaRCQiBKjO0xdmYjd4fY85itchMCiHyIvBjBlEFMQEoRSJGyT39IULOMnKIRKs8ea/bTmFBJUAp5YlUkyjKmU/tT33FOFgVkWUIWxcQiDLtD3CRBVhRKZw5mUSND/He+48fHGKlMs1rGLCmYVY0kDRCISRMRz/cQoojA9XDjGCFfpLHVobZeAwWKqUGlqmOeOnx0f58wkWi3OyheyuFxn3u7u8wih1eu1VleFWhVfbYlGzmdcSLrDPNbeGWZ8nKF+eOYMPapmDpkIbPuhJMPzqjIMF0rExkaE8Vk7FUJAgV3ZOM5Ewo5laVOgVpVpZRP0PMuiiQjZgJEAn4oUastc9YNGNoPsbOEXMmk3qyTLSweOceEH1noZplqXCIa2eRUgyxMiSyPyFMJPRVRUvASA8dKGM1kPvl4n/tPTmmvtli/uUGjKKF4A9T4jIaxIBAzDA1UEXRFxIkXeFKAUVCIMgFBlbGjlA8f7NI7meAh0V5eomwWmZxOmY9tJnOLrGhi1gpUVyoo2gl5KSXUUoScTpJk+EmEHXtk5RJ6o0zlQhtxOMGZzjnqjZGyPkcrMzrN9rOFYrJEFCbY9pxh3/3c5fgz0RQEIeP5G5toFRUUgaVMxg1DzmY2w6GNY7ksnIA4E9H8GDkTEQWJNAyIkvQzvuNo6iGk533H3uEQj5jbOwc8mR2ytX7hnO84H4U4k/O+oyTE/853jHbxKZ/zHc3lGomYnvMd/fmcSW/EJw8POdufYiKd9x0nM7xZ6ZzvOAkk7OTP9x3LlQKyLJ/zHfuPHpGGwTnf0T05Igtjxvcf4iERJcI533H1Qv2zvqOYEUcZ9tjjpDv7jO94+WUDUu+c7/i7//SP+YM3P2ThhLRbBT65+zHHvsPmq1t8/VevsV2dUVWn1Pw9dHnOODNI889BWmYSDbHjESgLXvviK3iuy5md5+m39jj66IC5cZ2la1X0TOfgdEEwsej/8B0m8wMub26wulGiVMlomDGhOkEUdWQpTxxmOOOY7//xI3aP+4RGk7/6t3+Bmy9fZPOCyKkUcP+ox+y39zh8MuX47jvomolR7xCFEI887r57ynzJwNRAyqDXc/hk94QHd3ucdUe8/rWvsvXqRbqSQsMsEgYlBtGMeSKzb/jsnOwzOh6RdbvcWK0xtaooeYOViyU2n2/TtQ6ZPPb4rW++C6nEil5ms1TCcvdZOCmNW5cprzVxRYcvVBfIUwsHGVHJ0e9NOBuP8RRYfeEK1a0ValfWuaKCN7J5+HtvMjwe8K/+yY9IYsi3NCrrBgvH5eDBIffujj93Pf5MNAVJEmg0DeqrVbS8gR7HeH5INtAQBAlVABORKEyJEw1rFjPPp/R6PTbmJQT9T/mOmYKscM53jKII3VAJVJGRMyY6Ns75jpErEdvnfUcpS3/KdwxJSM/5jonwWd/RnVpYgzmirLK4MyG0vXO+Y2i5n/EdR4nIIvzzfcdS1cRU1XO+4+wRxH/KdzTjkNhzsScBfdtj4fnnfEcpiT7jOwpiShik2FbI1Pqs71g1p5hCfM53XH15i1ANefDoiPGiwaNhTDVfpV5sksgmtqoQZSFVvYKW5kiyJZxxwvHRPvbZmMS3WG6X0BsyYprjYljFiR1OB0Pu/uEA58jEvNpiuH9MIZJx9i0aYY7txhpiBag9C+YtxwZxAosFKORwrYQnfYsn3TG5Gxe48iurlNsRlXUVZlPKqy3eD8uk7x8wmA9xhiPm8z7eVGUUBFTaUw5GFrKm4Ycu05nDw6c9DrunFKs5BE0jSkz8zGBISqRd5IQG9sLHOVrG239C96PH4I8RKwandp/Xfu0/YGWjxMY6FN0Gg9cOSb95QniYsvfgDH/DRXAl4sjCCGPMVCVLffp+wmsFix9OCsyTPukiIwpjavkaWqdI41aL+kpKu9QhmuZIZtuMd8rsf+M2H9ztsea0qC4S0jTh0eMxO+Ojz12PPxNNwTBNfv6XLqMUc9QaZSIlxnNCxLd7GGmdk+CM08kpoR+wEATOuj2ezEf4uYDSisklcfmc76ipCqWieM53FGsprc0mpe1tRqRIweyc79jQK6SqdM53jH1YhM4z31ExP+M7puUqzZcunvMdK/oWniWycm2ZN37rHt1P9s75jv0nZyg545zvOJMzxKDy5/qOWnaApAjnfMePfJtmu33Od4wFheFoyqLv8fTBEc7QPec7LiYCx95537FkKs8yMg9G+IPFZ3zHzeyYXDw55zte+fpVklzMW2/9HpY9IQwzcpc2QcvTHcQo+TyalNGTrpHFC47diAfv7TPat3CfnnDr4hbbFzp85VduIBsSEjVu7q6zc3DE9957j6cfvM/yrS+hpwInYwvrYMTFCy2WSkUMSUMWTJw4IBu1EZDx5ia9mch3/uBD3r/7FoWVJv/+33+dn7sR0xJGLIvH2JWA+2zgf/EVVpobeEdTjvY1xken3J71CUcBd0dnZJmAKMkIkkYYR4ytGXICCgr2zoQD6zG2c51+UUCVMxaeirMQOHnyDo+++yHhcMbl5RX++q+9ztc7Jhdfv0q5uGAjd8TUcbG0L3H3UsLgEH73f/09uk92KUQZfuLx9MMdZpbHjZfX6UkGB8oCZ5rSG41YuBEPBkNq9SWuvXSBKy8usdkOKTJFWBFZad3g5NDjO07E2x/e4ZN7cP3iGkmScNTrobTycO/znS18ntyHVZ4lTi8BKfCPsyz7R4IgVIHfBjZ4lv3wm1mWTQVBEIB/BPwK4AJ/J8uyj/6iY2iGzMbVFrKZw8jrWNYUUy1g5oa4iYMV25ylLlLVYPXmLVwxwLbnvHFwTO9fvsPrT6+Qm13DKMlkF0WccYBrRZwcTDncm5IEsPXLr7Dy4jYrNzqUdAnflTh9eo2z3R6PvnWb7pMzlms6pigTpxm9swGDkYdYNDnptJhEDqlc4cQrE3cDHr71Ma1cjiuba6x1mmxnh7ToYepjukqB7uUcq7c6LEZTpl2BLBapynmevnNGrxfSvLzG+pUGTikmS1UO7+7w/X/9I7q7B3z5tWv84leucvOSyAvRJyiyj+UlZLkNwnKVUztmZbPBzavLfOHnblGpG5SaKomo4thtDu6NWExTutGQo2yCXNCYyDDCI/ICDj64R23nhOe3lyhICnImY1kx9jQl8iXyBZNiwUTToZbOMLMZeWGCRExBtDCKZS5c2uDw2haTT3YIFxHjh4d4vTFRb8pJp/1M3dZMkjRksBgze3sfYeCyrBhcv7jNhatNKisCZgHyxozNDZ2X5xcp6j77BwN+/PZdgnEIXsR6vowUpziDGaO9PFqmEixkmsoK9sLnyeMBh0cjfvLOY6584Sqrt7ZYvlUk8N9HTKYU5DM0WaUkPbtUtUKb3uSEeTKn8Nwyq5c3iNKIXCBhD30WE5fJwSmxv0DCRzENpvMJ8z9+BzGD5He+h1owkTQN5AJkMkqUYh/0WW9U2Gi3aHdabF6IaJUGFOQu2+lDElngjzwdc2UdU9ORlwzkQ5FcXmSzvcnJUKB/54Tf/9++g/ZcgerfvEp/b85s4NAbOLiCzNbGGsvbVRpVj072mI4yIUghWtkiK1dY/vplur1jxo+P6d2f4gY+syyjfWuNIYd/OU2BZ6Eu/0OWZR8JglAAPhQE4bvA3wG+n2XZPxQE4R8A/wD4H4Ff5lky1DbwKs9yJ1/9iw4gShKSpqLqBggiuiyRiTKyIuL6Ll60IC3pGJUi5WtLlAwFYzJhMp8xnfocPBpztuFRXS2R1mNCK2Yxjzg9nbJ/1CdIDUpbW+QvrpBb11gxJBwnRjKWUYo5eg8mBL2YKLKRyYiCmFl/hjUNkRyTodhEln0EpUJvXmDatzk+7XLrtdfJV01iMUJMXcpZn0qWkKR1GtoaRlkHQwRZIpfLUSu08LoBwcCj+2iIpsqYjQQxipgcWdjDGUIUU6zqVJsa5ZxDLjrBkA3CJEYiIvEVTvpjaqZAoShTqhoUKzqyFiOLGWkigpwSxzGu5zGLFuQ0ifK1zX/rO9rjEe7Cg4dP2ap2KBpFPCfCdxKSAFRJQpFBEkBNQ+QsQhRiZELkLCDLBJI4Q88XgBRJSPCsOcnCJpjOOJB3SAWRrFx59v8UMtLDETk/Y+l6g3ypRL5URFEkZCVDVSxUUcaQDW5c7VAtFbh7r8fRfEriJoQ5lSBRsC2faX+BrudxXFiIC2Yzh3t3zzg96+P5Ic1SGaNYRMYgUprMURmoKl6SYYUlxt05k4Mu0/GETMzYurXFxZe3ScQMM5GwD32mh1P2Zg7+LCX0QorlMomYoUmgZAKRtcB1bULHxvOGpHGGkuUwUigZKrqhPAN4RQVFkhBlCUHMIcoaulYFWyCwFyxmA7LMRinmaa+WyVQJdeqz/2Cf1K3wycUcjEwERySRZPACREVGNxV0JaAih9REC0/MMAQL0yjSWKmRq+dwDmT8mYcfxsQqGNlfIsf2aTxc99PfbUEQHvIsSfrXeZYcBfB/Aj/8tCn8OvB/ZVmWAe8IglD+UzFzn9kUWUUgxVQDMkLiGKyZjR9EPD05Ymq7bLx6g+Zmm+1f2qRc0hCCdb743Bof/d67/PidO+d8x6qqYE/tc77ja7/0RcxORqfSY1ueo9bm53xHd+jh7lvnfMcHb+xS8dq0Vq+Qanmk2DjnO774xZc/4zsaRFTEZ77jw1XzM75jJFiczkbnfMfMFeg+Ov1zfUdfMbCF9Jzv+PKN1c/6jnEAWUBKxGg0+4zvWFutEwfhOd/x7PYTzExlKV9itgg+4zuOCjkMITrnO2rZjFTSGI6mLC03aTfbuDkdPQ5RFiHjeYwfp3RPHpK5El6qEkQhomkiagKWFxIKCoIgIwkCBbWPQgyayYWLFSqNPF/rXeE9NPafnmAlPu4wYuqFjGYWtZ0RbupRKtaZTR0OjvpMZ2O0XIZarOC6Ag/f79NeX6NvbPAIh1G3T3eY8ckP7jK9/RBDUlhZa/FX/8OvU7pcwI8dBE0geCIwvjdg8WAfZ+FSqm9z+avPIxYUTD1B9D0mXZezmcXEWjA47RG7PvHApVnTkASf0WzA0WhIdaWJHytooo4Vl3EWeXaTiMPbR5w9mkPvjAsXiqxcbPDKFy6hCdskcZ5vfu8POZrJ/NN//E3+Wu6XCOwB+90hBVmnYpYwNBOVkGKaUowtSrLGIQvUxCFfrlJcyhHWS2T9CB0ZIWfi7E7/8prCT2+CIGwALwDvAq0/KfQsy7qCIDQ/3W0ZOP6pj/1JHP25pvDTUfS1ZgnTPKVaVckEB+vsAr2zEbYVctwbE2cy19sVtq+vc+vFNgXJoZDIhNVV6nmNxnaHH/3OH9N9831W9lrU8xLjSZ+ds1Oqaxe4/NcbXL4YoGR9LolHdMQpTUIWSUiaW2X5cg25LtJ/tGCp1aKkGhxNPT75ow9pPFK4kBNJyzFiLHPnW+/S++SMl1dv8pJZp1JUuLAQyZ85uPU8d4sqfVFn14wJFxlRlKEUDfJLeZa2CixtV7DsFt978yMOP+hi9XromYl7uqCllGiVS+CkZI8tBosiSud5/MWUIEv4zo922LmzizQ4pdV+EfJlBEnEjTxyakYcRViWxdyxOD05YzieceHLz7N0cZnrX3sJo/nsLOxrr17BGcx5dL/HvW9+xPDJEae9LqqsEQY+9nzEZFzGnoYcrzTRkAkEnywp4HoNxGHM7O4x9tyhXS9TaDX5yisd8jkZ1/Y4PXSYjRaUDjPmwwXeIGKRJMhhQvdpn/JSjqOdmLX1TXJyHskwMbSYKIVcfoGoSjQaOYRyROVimbHtYdSL+HHCLBqzdzoldGJs9wGaICG5PlEUEUkGd7/9AZqhc/jOU/RankwSySk6niQwHDkM3rpD7Lpc+43XufXaJs9d73E9/5ggXHAQL3OnbOKXfXregER2+dKXb3Dtlkm1YSLlNRAUTvdH5B4NGfcXZD0XN5M4Vi2OLRgEKYZrI1WeUo5TmgudQK6gKHUG+8eMEo+9b9/G3euxJGp84YsvsnmpwdXn2mimR5ImNK99gcPDPr/9L1r8cO8eRTVHYbrAMhSc6AwsC7kAfWNB0zCwEYkCFS3NsRiHHN6bYs/mbG+XyRsmer7M/tnsL78pCIKQB/4V8N9nWWY9mzr4s3f9M8Y+E0f/01H0Fy4vZ2ZFx5pNaZaL1JZCdg4nHB0OUY0ykpSxsnmVUrVEMz5hPeshyCLdVkplu8gabVYeX2G2e4z3YIzTrjKYPJvwWtqsU65HXCk+ocIJuu9iuSt0hHvUxTxeOqFcWEOrrqK3HqNXDVaaHYxTnydHNv2JxYO3TqhUqyzsKfsfjUgeDpBerjOyzshXCuTGYKhlxnaOk7yJI2iUbI0kHWJ6PkFqUizXKbR9CsUK5kxkfa+Jdjgk2bWYaQmSoBHoMqkkI4UJVjfAn3dpLur0VZMJGQePR0yeWhhCgchaYFZMshAom4RzC31hIAxVQitkkKbMNAV1qUWps0pnOWFLG0Dm028XSOvQTA0a/VewfYl5zyavxTSFAtbujLnUZfc0w9zuUCqscuZVkDODiV9g0D3kZP8ELQ1YXyrSKCvU2gWq5TxpnBFFA1IBjJ6JKwUs1JgoTUmllK7lIh/0iMQQe9omp2hE+QJ2PCPJUiRVQRdlDEnCSHSmUYq2UqZ58xISGVoaIUYwP56j3NslcF1SP0NTdPxUJpo5pFOH4cmYOKcSaCAYDURFIbMSgr6LXNJZudhidTXHpnrCSjbAExJ6chWDErELrh9RKmm0V2qsbrQpVTVCIUFWDHwr40yz0LSYRehihQu0UonIUAlFAcedc3h3wNzNcbrnkxoKkQihZTEJQrr3j1Asl+WVEo1KlVI1T74oYuQDJBFyhkwp3+bO5Q7v9k9YuDZhnJCkMb7nsnBD7EDCNnQWiYkVpCShgZoVcI+7JLaLJkg0OnVKpRKFWoNMhpP7n6/WP1dTEARB4VlD+OdZlv3rT4f7f3JZIAhCGxh8Ov7/OY4+TVKcmYkS5+k7IMQtimIA4QQvXdDaWmbtpkqzk1LWzljNjtClmFDapLFaZJIJmI0S/tmIeXKM4AhUCkWSuIC/J/PgjT1ubV9BUEyWdA0xSlBy6yzEdSLKVOs1stQimsfULlcxaioXNypkGxqLkwG7v/9HOHaALKl4c4ucJDM+OuPBBxrzXh0pLCBoY5rrHe47EXFRQckM5icj8EIqlSLNVpVbtzYoVCMsK0ZRFLoHDg/e32PvsIe7mDByciShjShHBHdTjJLEyZUOAzHh+x+9j/3Eh0VCWyviTiMGzHhycUJRrRN5MOuNGM0W3N2z8LoWpZxJa7NJ/eoSdX3CsnKGmtgsiwqumFG5sYGTVkmEJaTJMf7JKSJQUPJYh3Puf+tDtta+TFiUEBp1ZEGn50x489vv8+i9B3z5cpMXbrXYWN1AW5HR1Yg0Esk3VPKBCsDMdZhLGbkbyxjlHL4r8KB7yM6gR8k0uHRhDSFYp7IsIykpgQ+zqcP0zGY49PFEhRd/9WWe//oNVF2BLEIMFHbf6jFL8xzt7bIQZtTbNfKbS6iVDD0Syc0zzuY2ozDk+PQEOZNQRx6GFpG7UKd9fZWlDYNqdpuc0yNBoVyoksxgeuSQJAmdC02qqyUqLQM9J5IuHBRVJl/JE6UBnm/Td6fEqsilL99Av7lOosk4d/aY/fgRzugTJr6HbJpMXQ/NzCFHOaS5T6OcZ7W9hCbI1JaqmPkYWThBkTNUHXKNJv/xb75M7Ao8edhlMo6JA5fxQY+TJza61iLXvsb7yQBflXDjVcY9mQ9+fI9KFFFebvDily9RqBbIV8tcu1LgzT/4fKsfPs/dB4FngbIPsyz7X37qrd8D/gvgH376+o2fGv/7giD8C55NMM7/ovmEZ00hYzxIqah1XD9kPrY53rMYdCdoeY1ap06pKWOUMiQxQItdjCTCD56FpURJRhD5JGmAmsvorNYxzALSMGI09Lj9o31e+Mpl8stNwmJIJVYJnIywmMcO1WcTRUmMKekstRtU6hrNjRppA9RmkXsfPeHIHhCHIWKaIkgxYprgzGz6osRDvYtWW+BmRe56E+RWRDkP46MB8+GYTq1CsVygWCxSKtsousjFq0tUiiHDU4v5zCbyJ3iBSzSJieWUkeNRqBnEXoRQK3DyZEhhICKlErGQMOqNcW2H4G4NeeigygrzoUd/OuPwZI6eKZRzeYp5DSMvk5N8ckzJM0cRVEIhYypVaJVMvIZBVNI4HcoEbvjs2z6JmR6OsI8sxIpKEMusrpYZ9fqMToYQxCx36pTqJcrtKko+hCwhjDMUSUCSRRZByCIKkOs1qlfWKNSLuF6CJ/jY3S4PHp3hzROazQ5CQUHRMzw7YtSPOTmd4ogShZUaV66WudxYoJgqiywljUUmDYWpJJIIkC+pNJcKtC9WkGsSaiahWgLhkUJmObDIEYUxnp2SFhTkvEYiigSixlRokRMlFumzJdjHR2cMzs7I6QqVSgWjaD6bKBRSJElCIiPJMtI0xXVdZFOjUC1T3qxRvdICUyKSIob9MQ1JoDcakaQQenOSRUxixZhyiiYJz57UlRRsxyeKBPIFlbwGiiYSJALDUUirXcKxfQa9IZkj4w0devtzcvUyjet5ZkmEqOQYz+F4b8B0OKJtiLSaedY2GxTrOQqlAsHnXyT5uc4UXgf+M+CuIAiffDr2P33aDP6lIAh/FzgC/uan732bZ7cjd3h2S/K//H87wMLx+NF39qiXRGI/4OHTIw72Djk7GfD8V2/SubqFaZQQZJlJss4xJUh9RukFBjsJZx93mT3cQVhMufXaRV598SpRmPCi3OBsYPPG+3f5n//b32LtuU3+o//032OzViXTLOanKaOhzSff+TaDj+9x/fIaL3/xMpWWROdinotzk/lYxWgWib53n72TExaEtFbXuHplk6VWgShNGNvHDLpT7r97yAfDEXqryvLyMsOPdggGs3O+Y5o65Avnfced3UNCJaF2ZR29XKK23EEaD4mzlDv39jEzGU49zGKFWBWYpzZ7exYqIvMnYzxTxZraaHIe2dSJT454brlGe6VGw1nQGDoU1hIU1UfOfEqSQCqJbCxcElSWilXMTodxd4IVWyzEiFRV2N15wHf+SUBpqUHr8kXkFxKe/O67ONMJnUaN9Y0O1Y02YrNETpmQJJCREdo+znjO0JqRGgoXXrnB6ldvoZUN9KLKxeuXmO102fnOWxw8fYQoluh0FfS8hBTIDE8n3H5wBmsXuPH1W/zCK1U2hPuIusZeCoFWpVSS6PozFkrMF5/b4NqNDZavllnp1AjihMOuTZh5FPsJZr/EMFnQFT0yvQRpgZ2TIRQNEukqy6FFlMQc7EV8/7vvcHR/n6vlImv1NmahyCIISYQUMpEwjDk6PaU/6LJ3sAuaQn1tmWu/cI3GVgXUhMrVOvOtCsO3D6mNGyxmLnIiMxpNEcSUKF4wnVo83HVYvrJKdJzQqOeoaDKKLCNH4AQjlpprLK8WmVkW5YZIMa1xejLj3tu72ImAsNamXVlClCXuv3ufuz+4jdab8vyXttncbnHt+RVkNUFII+TyXyLcmmXZm/zZ8wQAv/hn7J8Bf+9z/wXAbGbzyYd7WJN9JAGOPBt3PEOPM+yxzcnuKbffrSMVdbSyyX21hJ14PNrtMnujR/ejfZSexcZWjZsvXOLmK2vkCwqBqDKal1jdFvnm7/+Ek/ce81372xSaJe7e20UUBQxRZvp4j8u1DitrVertHM22SkH10QsyhUKF6c4cKctQRIEbLz1PcaXB1efXublVRJQS4iylP9bpvnfIaGBzeG+X9777LlKiUjULjMY9Hj4NeOF6nnqlgazGzLwJcSYiaAoWAr4ps/kw2bB6AAAgAElEQVTadVqb62w8d4PIP6V7MmSiFdj93sdUY421G1uYjSLVVgl96oEXMpx3GfghMzvEmxyRTEG1QvKXGshCSHHgsFaLwTKwjRyBlJJqJVIkrEAm7HmEXZc9z2bqetQ6HV7/6pcwKiaD6QlPf/gx/d0ux2/sck/SiPMCS0mR5XadYq1FsSBAcEIm60hZQmB7nI1mTNyI/f6QcrXO2ssbvPKVJkVToCSHSBdrnHY17pTz3H/7Id947yfcOF6nUSnRmxzgeBYzRedrf+s1Xn11mU3e47p+TBqqaMoGOy5MJimH41NaBZ2ty2usXl9j62qFWEggzKj5Cv3qgpmVcOgdMBiNKDdbeEkEh10++j++xV6hyJONdbKSQqZLnJ5OGb13ijnyqF1qEs5s+o8OaNzcBldkEcZ4vod/4DHsR4x8GW2jTfvmNstbEleXuuSZYWYKZzdELnde4t3vfISiqXQPJ1jzU4JcjpzZACHmwF7w2997g5uXS9S0V2npyxBlZMICQZSJQgFTVDBSBX8gMLM8Qm/B6fsf4w27aMkqo8ubmEKOR999QPfhIXXDoLO5QutCi1k8I6emGEpE5Hmfux5/Jp5oTNOMDz44Q9N9ooGNUSohRT6eKWJ3xzBPGHkVkCXUpSqDvIrn+0zcBbtv3yPqjVgrFlgpr2EYBmbJRzYmlHMG1ZxCMc5zdGuTlH1Ud066e4p+5uEMLbwwIlAC4psyaS5DShJEJwJJIEgEtFhiNPc4iQKGCGx0Viheb1F4vkq+EVCVVNRZRkUvIL6Q55JvYjwx8NI2D60hsZoQ2THemcv+kyHBchNVE0ip4Fsx9mTIbOpQq3e4cfMatY081Y0JYeaDkRF9ojKLQ5qb22x2FEq1lLUrJrav4ywCOE4wLI9k6lEprODOPTAWzM48hEDGu+Zy2D8gm9UpqyaarCDHRXwvRXZ0gpHA/lnCOw+P2Xj9EitXrnD9a1fJqTMSWUa7WWTwZMzOb+0ij0P0WUC5UUJXVBRBREwyJAkiXyD2U2YjD2vqspg/8y31coF6q8hSMaFipJTiIWI1RyZJjF5YYh77PNy/zclxj9SJ8bwU10tQVlSq1RK5golaqkF0SJLISEIeOTOJphZRKqDoOUq1Orm8SU6RcLKETAHN0EExiCSV2PfQdZV6vQpphJiEHPVcFkOLBwefEKsigqnhxSHyLEJLdKJQxLJjnInP2fEITZcAsGc2k4GN64SkqUixUKZSqZLPCbTlMWXOkDKTsdogUyQMU8VTApxoQaQkGEs5tE6VRAHBmtPvDTEfRTxdGnBxeQnfS9ErGooqMZsEWCOf+djHdTI8Kcf6hSqeLxJ6EU/uHBIkJgW5QO9xF+dszs2ba6iKiCKCTIKUCURRRmZ9/nr8mWgKhXaN53/j55k9OiGTh/THM0ylQConOJMJi9Gc7t4OUZrgKiKCqpHGKWksoTk+NUNjpV2m2TBY2lgnX5eQcDGUPkqSsLnR4tf/2gW+8qWLFHMrfPjueywrXe7GHlM7YhRnTIYzwpHHD/UHtNtlti63iQTwz/YZHQyYTUaUmlU617e4/KXLbF2IKQkH5EiREFhbKoCyyfAow+vr7ByckFNbuFLG+/t7qHsxx7uHXH3hBs1GBSFJmE1m7Nx+SizFlLdalK6aNNsJF1szFqFOvKjzI+sp1bbBlUtFXvvq81QbJuWWgeMLJDHcTh9jmR7jE4/DUY9IyHBliZOFTeZNGL0XUV+q8ZsrzyMX6wikjP0ML0jo7We89e5HfP/tTyhczPFr/92v0Vkq8YX2ACMZMZNyNDdeZzaK+KH6hKOP9+m+/RbpIERTYefhMaJURM/JpIFL4Ph0j+Z096bM5h5mtUZxuUOtnaecHdKIPFbTXRy5xKJYxLyyjRHnWH+8zek37xF2QxRRBsWk/OV1jiYD4h2XQrGEnVzG9xLO7Ar3TlzeeusOjWJCp61Q3dQRGiG25qH6IUImkHgx07M9unv7nEQu1Y0l2r9ynVc3mpSjkJyV4bgej/aOuP/wkOl0xmyukM4EiOD4cMrY8hn3BwzHPqIqIEcpmZ8yH8e485QsUckV8si6REHUWUrn1KMeftBCnG8SOotnc0/+gr4/p3Ftk/z2VVo/dwVKKuIs5OC7H5OdnvGNb3yEGORpXyhT38qDsMDqx7z5k4c83u3TvHqV5a1Nful6jt7DfQ5HFvcXPe78+AGKB3RtSlmOvFIg9jNC20OwNeJIxlrIHH3Q+9z1+DPRFIyCSefmMso8Y9ENyJIZhXKO+nrl2fLlVEBNYxzP53gyxXEjkihD8FIMQaWkGuiqjCiB43sEgYImR6hmgC4lkMQ067C+UmN/d0o+p9EoNnAXj/D9FK1Yxo9EZqMuH96WWOpVmTghmZhh2j7j3gxrPqexVEMs6OSroOVslHCKmAkImgpChGd7+K6AF0pMg5DCVptawyTQA/zJnMNTi9mHj6mVyjRyBbIgIPUSZE1Fr+RJjYhIdJDCAYnbxF3InA2ndGoajY5GtZGnUjdQDUhFATIJzdTR3JQUATsNEFSJ0sYFEjHGWczougHOYM7J4wEXmiblsoqoq8QIHOwe8uDJLsPFmEtXX6LaTqhVZtSyexTjLrLUIYqXEXXl/6HuPZ42u88zvevk8OYcvveLnRuNRiOTIEEOKUqmpiSPa+SFXWW7yi57tvY/4I03Li+8sjZeuOzSlDRTI3EsUSJHgQRAgiBCo4FG56/Tl9+cT85etPbGwuWCzubszu6+6vye33PfN2pDJy0KyJpILpGYLVbsPz4llmvkCxomKomf4S4z0lAijUHXdRRNJZNFiDxkbEpaRIaHLspopoBWUCiUikiiCHFCJAuICDhzF2fs4OR1FvMGJ5qM5yWcrBWeHs5YDOY0SNCylEQWCDQNPy9B6hFmGW5sE0QhcRwT2DaprlG+2GDzWoP8ak7VCvB8FYotwixgdKaS7fssUp8se+Esddcez50VvgiyIdMr1V40Rs+WOJZNkqXImoisiYhpRJyK+LGG52lEto6QQBylOLbLyvNo1WsUW0V6WxWEvITRECjMzzMwBB6djnn0+JQgy/A1EVmKmPctjkcTxt6KnSsd2q/t0mrMEUMonm9TNXb5+Gd3Caw1pihiaDqpIJKECr6VsRi7CLLC2dhm1Le+th6/EVAwDYmt13WsBxVmoUe1qbJzocWlt7Zp9cookkA4j1jaNqX9M0aHK/y1z9Ja4oURc1IOBxK+IlEazoidHkaugCJKkPmIpkzeD5Eyh0qhRv/kkC9ObYaaSWl7k+/88AZmKSWIJtz98pDD0+f84pMHbJZaaIFLFkeYiky7VWFjbwNVH1DSbCrSGiMxCHyN9TxhNRX55cf3OJwMufoHL/POf3KNZkdGMkMcX+DwKOW3/+cn3Hs2QZwO0JIIM10ilU1YR/ijCKVkYuo1DgYio6MlzmDM5vUmha0C5W6JXE5AViOyLCFJMjIxxLZtToZD9F6FfLVI/Z0rVNpVnOWa/Q9vczZd8ec/uYkiVNje6TC3F6wcm7/7m895ctZn48oOb//uW3SKAWUtQ0gcJClCFVJk3USOBLzZnGX/lES0mCYZmSfw25v7PO9XKRbzFFMLTcxhKlWm4yVr18No51BkDRQNU1cpawaEKTIeGjolXaeazxP7McQRlXKZUBFYhw7hZ8/57OmIfKPA0/MbJM0qYiKQyhKHT59iPp9RLTWQFjpPj2IkJYMoJVlnRG7M6LnFw0FAfwFXdq5x4aUbtHYqdPYyaquQXKpgewKrkkLHV0nVKQ+++C1+5JDPvWiAttwlB4MVc6GPn3g0lRwlwaReLuD5LpGYkQo+frpGUyNsOSXOTKIsT+oKjE+HTAZLBsM5gSBz6fU3qb8i8c5bZZJsTU6RiC+e4+ZXbXKKxmd//mvuPT6g+bhCs1rk+NkRY9+icK7Od//rH1HpGLxefIx3qYXcPM8ddDaaW9x97xY3//xDJosYpaIzXk9p1hXaHRlUk4OBy/Rk+rX1+I2AgpiGdFoZ7y9GzO057/xHV7n80h47N9o0uhqqIjM9SVmubKwkZTXxcFY2mSGSSAqeLPPkZEl/7uHEfZr579Pp5jDEMmmaR81LJLFEHEp88ttn/PKDIx4x4Ef/3e9y9Y1z7FwW2GimjJxtvrf+PZZ9+Kv/9e+Y3x0ymNrkhRg/8Dg7OOCrW59TqW9DXiOx81iuxujYYGkt+PN/+xvO1hYbb1zkX/6P/ynXakPaqkXqT7GUCpWdFoX493hyq8/nf/4Ji/4Jel7Ana/o3z7i8d+3EJZNxO9m/P2vj9j//ICcPefSle9gdvLIqkKQ+siSSJKEuG5InMU4jsN0seTVd16hutmi+4OXaO+1yIka18/tsTiZ8eG//nt+8tefsrvZxY8CHM/ly8eHbJ7bpNFpk0Qxc6+Lg8oCASNdM13LfHV0gj8IGHx0n/RgRGG7y/bV18lXe6yjMcunB1gTl5O+TeQs2BbXOHLEPHER5g4FVyfoj/k8qfKVLFBt7VIyFoRBhjfOWD9dMxvPCEoi09TmytUdXu++RFlWEWKBcRjw4HDK9Nf38TyPwLUgTViIAtbSQu4rfDEcIBoGiaGSKAqiKIOTsNx/RMswufTmNo1cwjUzw1wfUhQtkiRANIskvV2OH2Q8SaacBBP2djrUyxU6nSKiWaPZb3MwH6OlJdbrgCDN8NwZYpQhpyHW6QS312Y8KrLVrqKmCkqsIQUzojDl0Z1jHvenXPjxK7z9L7rUGiE94R4V1UVKA6aywbVXz3Fyp0vaLDIYnKE9BFeaYyUptUs9GlfrlBs2nfynCEhcupRgckp1puFfrrOetLn7cw1N16gZCUN3yfSZxyefDRFlFS/OyFC+th6/EVBQxIDhcY/++KfMC2sEXaXWadEomShxjJiB0cwzWs3RMp00UbDjDCeXkV7pEud0osmMdL1mMjG5v+8hyE3Mgky5qJEoawKvDOscJwf73HMfouy2ufxGm+3NmFcKM7rejNPciq/EG/hRnd1vv8rp6K8RAg97btPUK/hnEfKDGNoR+zsKBbVEwclxEMpMbp7x5LRP/XKdV7/doalOqKZ9WskRZX3BgC36xiWOmw5SScLLXBRTwigobCRVgmVE/4sBogC1q68wODlh/tyiWCixtkOKsUKa+ChkSL6C5IvIHrizgKVjEUgGQjVP92qTnU3Il45RMonrrxTwejr37nS4+9Edlt6SvFZgZoeIcUgVBX2d4g5lpn0HRY1YFV9YblfjOSe356yPxiyePMaMA1rbb7L7yh61do9ILTHsKqxGLg/eD5iGM0aDKbmihqFmLGIf1wsYDVymo4hGrYKLydps4nsRk2nAycLCW4SomYxpyHS6VTZ3alzo1PAMjZLjs/pERpgGTN2YKBUwDBOzZKDGL+76w7VDsrLwkgg3jCATMSQTI4BiQaOkKOQRkYMEIRWIRIEQH0dQsAwVOxGxVz6KaNDpbbDRrtDuFskVdNytkOxJyHRpM/AcsjBjbVtEWYooCyghCGsPJgmxqhGRkjomri+wXFpM5zMEOePaa9ts7JpUghnbwoAKK5xUZZFpRKJOmgkIYkwa+mgGiLKPPxdQQw18BTlJSAQdwTDw8YEY0TAoqkUIMjRFoFotsH2hQ01VsWYTDoM5SSzgOyFplnxtPX4joJCi0j+asZiO6W222Txfp9HLI+diFA0kKUNzE/KGSpj4HI2PWUc+jTevce47r6I1yhhIjJ4d8fSXn/GTP/0lD7c3+KP//PuYdYXGRo6DoylHD+/y8/c+oHdhk+//0XXeerVALWexIZ3Qivp013XWRobazHHcMgnUjNSxubCzSSnfYOXG3Pz1Le4+fMDb/lXErSbu0YgP7yw4u32fdRbyuz/8Fi995zxeJUNBJBENbAKcMCP2pqyWMcvFhDSeUS7By6/tYBTaOJbAZw+OePofjvj1/S/J+i7xZE27UCUeLvE0mXlJQlUlXF1h0J9irR0OT4eMFyvUepmNcz1657c413W5pMyQs5DxZolpJeV3/st3sByL1aOn9O+dECUqkhTz1fMD6B9Te/yEUruDqGrI5QIIAp7jsxxMWffHbCQKp1rGj979Fhe/26VeVdA0D/9GD9fWKF7p8fz+KWc//QprNCSKI+RJyCo+5qeP/w2tYp1qsYqTU6m2Nl/0G0guk+mQ6MympppsdCpcOF+ntVVh880SZ+WMUmjS0WWSQ5totabTbbK506Z6rkan2iKOU1bTJdbKYXw2Yj73cSyXyE5RBR0igdhz8WcrgqMFSVEmNE2iksIiVDlYwb17BwwfHrG7scm33r3M5k6BViuhUjGJo5Tdfo7ZKubzXx29OOffXxFnApKsIDkxwfEM+WiP+brA2Jc56a+49eCEp88GOH7KzktbvPHOVZx4TF7zyRQX8HCVAmOxy+Cpz2q2ILQHNNsCl6930Yp5LjgNbu2f8eCjM/4s/RnNd2q8c+M1zm2V0VWBxUzg7nsPuf2r21y4sM2NG+e59kaHyMhIwl0Gj/eY9x0+/rsvOB7/E0tecuyU+7+5j7T22Dp/nUrNxMwpZJlHlknEUcr8bIg1XTGaTpiEDoVOg8s/ep23f+cykeBgSDLCm3VOLm7yt3/8Ex4frfi3f/Yxrd06zWad28+esxguSCSDl69dodTbYynl8cMERWviJBCX2jxcpwzXUx5+9inO/jN6lQKvvLHD1u4Oslzk3sMh986mvP8nnzLZ2iG1Qp4/nWDbZ3QvnXtRSDpaIzYr/EbawRDqxIHD3JV4OhO5+Ze/5vjL++zUVa5d3eH6Wzt0NzaQRJMbZ1c4G6/56d9+gHtqo/simSzy5NExg8GI0WCMaeq0mzVsK8BzI2Z9h9U6QC3XKFQLmAWVsnDIOesWiuAT5jrYeQlj+zqbr+xiZjGjgY/vwIWLO3h1nTRNqFoRo4dPSTOwkYiShNDL0H0JI0k4q3nUt7fJb7TZ6kQ0tREVvkLL7RGWSizfqlKrqij7a54NJ4SOy5XLF5ByKtPVlIrgkUwOcB9HjKU7zNcWppInCmK0JGbz4h61gknOMCkXS5j5jG7OxSiYjDZMPlg8Zx1N+P2r17l8dZfKTo7aVgkhEVnN6szHFrdvguP38TyBNMtYCSlja4H3LKI8y5PfNNho99DqBUZmjfEi5vSjOYcf36Pgevz+f/wur7xVo9YVKRWXlHSfzC5QLG/ghhrSUqafGxOOZxwvV1hJSH86wQkcfvrv57Qq20ShwGC05O6je8QibG1uUqy0OTzxKNd7PHbrjOUKUuoymMPBQmLw4Zc8/c1dzneq7O6UePPda6gFhc32NtfuVxlMbP7mFx/x+NNHPNuesnujQalaYDaHOz/7B3BifvCHP+DStTbnb9QomCFuIFArVZgc2xw9HjOKA5zF13NKfiOg4LkBs4MhRdFECV+cJYlA0hTkVCWOM7JIIAkyLNsjygDdpNQw2OqqKJJP6q0REw31pRI7r29zpJyxfzhg7loQKRw9HeJYLp1mmWqhTGiL2GsDT8nIy+fw4ypjV+Swn7A4W7J+fEpL0zl/eYvNi006WyaKYoDZQWurfPjREYfPjshCWA1nCAYoqYh1tEARRPIFEytnIGYiywXMVwGHgzmzh33SsUfv2iabvRblTpnWpoEia+TKOo22wqP7Jk9HNivfYuo5LEchylLASjNMQ8FzE8RYJQpiYiciCTJETUQUEtIkwJAFNClEEXwMQcSUFTRVQjF1ZEVDVSQkTaDWzqF1KwgZlIKY/FTBjxPGCwfXSfGdEDIQ0pQ0TTBMEyQRIV4hKzYma5RwgRBARcvhGjJlXaeo5pCSBLNaIVfN09irU1UEEtdjNog4cQaEGSiJjCpoyIGNLAroqobnBUynM3b8KiUzJZFiCBKkvEouzbG9t8nezgbFbQ2xEiOkEikifpC8WATzbCzfBkEBXSMFToYjrMBhNJyyWlZRNJV1UcV2BYJxQLJy0E2RzkaVQklFz8XohoCipki+ip8oxImILouYqoxr2ciKQs7UiZOU8XxB7I2wGzKkOsu1i7V2yVTImQUkxeD0ZEKtaiKaJSzBIIkyTs5sTvtzBvefMTo549L1Fp1Og+3dTTA98gWP7T2F9laPh896MAl5+mzIJ8MnlFtlorjIcrKkWaxRKBQQlQwjLxN7UyRRJ1c0sfIJyBKZJH5tPX4joLBa2bgPT3i11oGFxOGDPjkxT7UhYhgGju0znywZnEyYjNaoxTqNrXNcvtSimJ7Q1B10YQqxhrzT5rU/ukbpSo/3/vd/YDiY4wxvsiRGRGLSn3Ln09sIX97i7MEVMkOm1KwQ2i5iInH0aEJ4vGTy4QPe/sF1Ns/X2X2lTXdXRxBkLt7Y5XW7yrUtjf/jz95natsIwQI1V2S4f8TqbIFgasR/plKr5pEVgzQzCL0Qa75CPA25Utzk6uY27XqF5l6XVjdFViKU2ZzORoG8/Bo/yZ1x5/YT/EQhMlL8LOTz5yeoZJwcjqiKJYRUwF3Z+JGPUpZQxRdXt2Ik4hAipwlioqOGBUwM0khmMllQLORp73Z4+c0dtrc3X1TdKQKHh2sc2+PRvQMWwznL5YK+NaBYKCB5EquzFePRE1xqCIpPsp5RK1XwhYA6VZYNEctISbWYnV6Xt9/o0OyVKTR0gkTG8yIO7p1inGnkRYNl38X1XKIo4fH+Ef3hCKmt4QkC/WWBy3kJKwp5dLzAmq45d2GL4oUKuYsF8oUMXVYIElirCbIhISY+9soiVkC/1mPn1ZfJgKPj59jjBb9+7xFiJLN5qcvybYvFyYJ777/HTk1he6tDc0OmW43Q1AWGsSJVBLJUAqfBuh/z7Cjk1oNj+i2Tt3/8+/S2Kmx0Y8auzfHzKV/97AuckxX+cE1GiCDKPLj/Fen9jOqnNR7IImanSSCJCIoKiYgzXRHuL9kt6Ww1z7G1tYHS8qiVE6p5l0ZFJIpkxOg6qyDi1gd3eHo3xHm2ZDZ6Rredo1ozmflrOlmB0f6IdqdJ4Ho4E5fT50NmywilWgD+P4pj+//jSe2Ytp6yFG3U/JjQbnL4ZEAYViiZMZEbcHDssLIEHDumUixgKqDmdUx5gGEf0BJnOJpBSdXIajnEjkF3t8TEcZiNEzIhIRIiMlPk6Mt92rkWw7N9JN1gXNARDRXHE3Amc9bDEc2NHluVDTqlIvlcCbQ1BcOiKgwInJSdC3l+7523+OzjRzyeZMSqgKqbhE6AGYZwuOSsVCaRU1JRREwUFN+kmEvJNQt4moKLQL3YxM/uowczOjkPUagxa2ic21FQvV0+z0Kqmw3MQOLZ0TH2ZMqTgwEbWkpey+FmMrYVUGOBaw9ebEqGDoGukSQpaZpiIJC3DM4e9RlMArqtEhtdk0sXu2zslUDMCBOVZWaTnHh0izrpTOGZ7+LnVXxSdA8WJysm92c4bzWwc1UypYKevQjeRRGRVQk/dNBKOrWNOr3dNs1ukVxFxk9kPDdierogslLWms3Yn5MkEaFu4icBS8emcDBgHsTsXs1j1evMbZ/Z6RjdkCgUdYrlPLqpIWoxihKRxQKKJJJlGZYXkggySt6gdXGXzrU9MkFALSjMC0Ps1RNu3z7EdjLytTLOcM3qaEyraFCr5hELGYkYkWQxpBJSJBNYCZ4V4zoCDw8POJqPaXznPNd/7xqbHZWqMaYZmVy89iqzh1MGTp944JNTNdKihqFqhGFIZLlYjstiscCJYwRRRZMNMj9FWri0dloYhgaSQLFcQtdmCJKHmRMJg4DuRoGumGAf1XDPHOaZjC1bWF5Aulxx9PwIOfXJZV0kMcN1U/rHc1YLB8exyG2Uv7YevxFQEATwkoDlMmEcuhyMT8mXDOqNAjv1NrqgEkUJa9fHdyKUmopeNjGIKMgJRWIagk9eihk5ayr1LkvXJJcv4ikTiHzKrTJ6yUAsiPiZj+5FOMsRYZIwtX1s10GMJJRMQM9ECu0qBQT8xKdcNSjkliiiQ5ZZXNpuMNRF/Hc2kI0EMSdSLWjU2y0EMUNKRVbDCSdjm5W1ZNyfkQUCYuxTk/NoToKWgpTFzGdnbGkROU2lpGWIssJGU+TKjR5CwaN8eYd8TSEvqNxwXmZyOuX2z77g6IOHHI+W9Gr5F7mSTsxgaNEYBVS7bRR2EMUQl21Wic6deydEB0NqYUxts07z2gbljQJKATIRZGTKiyJ+zmPljli6Hkle4vy330AxdcqPVyyshHt/+QVpuOKV39nhle+9SZSG6KnAehkzGdoM+mfsbJfovNRg43yFSk1H0gLUIENRMnJFhVkCthvgSglqI0fn9VfAEFjNZtw+OkU4GWFGLqH2Qw5WAUcf3GWjZNCs5CnkNBRJJM0yMhKyBMJVgD1fczaeQ7FEZa/Dy793g81XWihiSP2dBuuFx4MPz/F//29/wUn/EVsLDzFI0Wcp5/badCtFxKJOKCQIUZ7UqRMHsF7k+eLTPnce9Ln5/D6V8z3++//he+w2ZlTiM3r6AE82+dPnKp3dTeIprB6MuLTXgw2TXruKImXoos5iZBERc/q0j7Vy8Fc+YQC6JCECURLjByGr6Qq9EiLINpqaIaQhm91NliPY6V7jE3fBaGyRamXy2zUyIj7bP+Tzu894/70qe+d3yasKoWPjui6j6RlX3v0RB9z+f9UifEOgALDUPGp7m5jlEra/YJomPHr0hEN9TV2vkosDwiQlsAN0UhAiMjcgISNTJAQkJETUTEKPdZJVyHg4wfcsNjYKNLeqVJslNq9skKsbSE7KaLjEtgJOTpYcHfbRg5TxeIYigu/7TK01kqUx7s8RM5tiIcWo5JFTD0326G63sIMCS6/FXqNAZ69DpsrEccbZ8yLFJ2Pm0zyKm2GvfFwn4HTm07fnrPMr9pIOta0KvVweigVCwYFYgNRCb9WQdYPzbzYopAfkJEhEldn5KrL5XUJbZPJ8QDAZkYUh65MJT28OENM2eu63qBQAACAASURBVPsizuY1BDEmcutMxy4ff/Ae7vEZZU2hu9OkdaFNqZlH1gNEUSAJY8QUsgTOxnMGjkP5yga73/kWZr2A/t8UaVoewZ+8z53Pjrh79xlPj27wnd+9hmko2M9tnnw6IF2H7F3boNFVKbdK5IsSURyjpZAqGUnm8uTokOfjIc23rlJsVem+ewmzV4Yg5fS9+6zPZtz65CkPtC9Yhh7GoUXtcg/VjpkfjDEBNSfgyyKeE3D0dMTpyZKFZaPVmlR6dc6fN7jcHFJTQgpZwqoloJebTK3vs//JI57d24cwoS0VkQMRp7+i/9xHslRMJc8iKzGbBhwMV/yHf3+T58d93v7nr7Pzzh5aWSAvz2gIMzpqwAyZnKZQrRU5SHx6F6q89cPzVHs1ds7XEdUMz0t49mTMcOi/sFxLEmNvjR8HhAjcPTpmIcOuu0GzJyK3c3TLdbJgjorJai0wnUn8+uZT7toz1ItVXvvRVd79wRVkPaM/GrKcenz0d/d47xdfUhI18kJKkkXomoEs/xOrjcsAs12gd32LUqNBmAWEoU/8ZcTqNMCxxrRSiVQSX4SGhgG+bWF7MVb8YpC2FnJ4mYSf6YTzGOfEwpuvEBSB6maZ5laZRrvM7vkalUYRfx2TkKAaKs46YqyopKGPF4VEsoq7XKIcn1BTyyymLru9KjlZwHdsBDVBlEU0WSJvqGz32my0TJqbJWIR4kAkWifM+xby0sMNYqwoxCZCKWokpESjGb6S0erWudi9jCbriLKMKCVkYkQsySiNAsW8wEZgY4gRgqSjFAucdvLotRzyzIC5iCyLFASD1anDWW7M1dEebqOIICYEc1iceSwHY8I0QlAUNEVFzl4YfEgzJEHAdwNc28axPRaWg5ckbG01aezUyFU0qhsqYqTivrTHqRfz6OQpj746Y+PKOXIl8I6mHD0fkoYRpXKeQl7/x89nJElCHL94Q4rre3hxjFmvUOg0qGxUKWxV0FAwxiGrYpV7X/Q5PJ3hBDb1hYOESBqm+PaLbg5BFEkUFd99kcHgeQFJllJt1KjWKxRzMlq6wghdFDGkqBepd2s09irMh3WGdw5I3IjULBJ4IZ4jMjqdo8V5cpqMmGiMRi53nx6zdmLCKKNYLlCqFgnNPL5iY3kZ0yRmIYlo/ziAnExGdHIytU6BQkGlXNWRNbD8BH2mUYx18uUSkZOCZONFIYVCiZiQ0XiOZigsZw1yikwc5Ij9GFFMWS1d1rbEk6MDYj2ld6nBK79zle6eTqbGKK0KW8kGIRLOVx6yExKtVnixj1xRsNfO19bjNwIKCAKXv3uNaz++QalWRTIMVFnh+jvXefB3X9F/dMbZrQM0TQNDIrZt1sMBUztiFEgkmGSSgIfGJC6weOqx+mKM4ETUt5t0b3S5cmmbjU6VXsckyzzk7S5u4iMOLIYnK0LPxUsytHqTarPF1FtxEPj07x1TNmXK8nV2thqoioZbDEiSFG8dgJ9wrtmmuK2Rq8n4vo+CTFHXX/QGLC1WSYbYbHLp6h7idok0Tjn94gGHI4vf/sMTylqZ3nad5raMkRPIkDhZ+oS7PfTY5bpioWVr0ghMqUO/26SyU8PyHcLxgJZRplvb5IOHpzwcPmBzS8dJe2RyxurJksN7BzijCZEhEOoCeqojzmMiN0YDEDOc6YrJaMh8umS6tPBEka2XzvPa98vk1JhqdkZe1lj9q122r+R49KjBL351j5/+T39JtV5DVUTmhwOU0CX1YpyRgz+zyVzI5XUWEwd7HTPph5zOVgSSTqlT5MrrXV562aRSHCNlKckPS9jLHKn2Jid/8j65MxdNq/D06ZzxPGAWeNx+cMKl7U3CLCLzEyaHS9wEbA9aRR21kqdU0OnqS2rREbnUJsrq7IcihStt2m7M+qNDFiwZLacYYwVhGtG3ptwUZVRVh1TDcdwXvRPTMZVmmTiVWI7h5JlIWuky0Fp8vnKwnJB7hxP2D/t4WUxnp0d3d4P2do5cQSZJIhS1QKccYy1OcVYLRoMRlp6x84c3yG91iaKIkwcPuNU/wf+riNd3LyGwTWerjSLl+ezmQ/a/WPFkNOJH/+rHvPWdc1y5LHKD+xiCyyMZ+skW/uvf4ukPV4zvPGb5+RGKKKGLBY5+de9ry/GbAQUyzn332/TevEginrIhrxETkUKhxNGoR0MvsDyxWC8m5DyLcPEis3A4C7no9nDkNneiFZmss1LqfPb5X3FwZ59GzmQ7n+flK1tsb/fI500SMUKUUybLCe12ndVojRe7TMM1kQPG65fIzvXYrRV58vHHrF2TB3cmvNq0COYK3bc20ewViuRycGYzmfnsXTcQCCmaBQQS0FTO8jPWqYWsyggS5Js61RtlzO0dZMkgSDPckxH7jw6pffwcVamTyDG1rsHECjmdSCC6iA2VuepSUCL0ZI2qKtRKMblSlTCdYuoGvXqDXN7kfKXBuL/gq0/uomyUUBSJwadHiFaMOwhoo9HSTbz5ioGQstHKYXZKOIHLcOAzPIClJeJKIqlWpFYtUPSn1MSYnjBESlNqSZfctkLe3GD/8TGf3TrEntqYmkJsBZTJIbgC2ALW1CXJSQgxLOce65XLbLEkFEApmFQaFSr1CiU9ZFdYIksJy2qGpCRsv7xBbauGZSfYIws5UbBnS2zRIp9TkVIFU5SQMwl7EWDHMXGQgi4iqCKSDFoWoyURRTUjFDKk2KdYKJArlJB0mVQBS/CZxC5R4GANAkBEkVUUxSCKIob9ExRBJI0z3KHFJOuT5sr4RRFDFfACCcdXObl7wOTJGDUSKFZ19JqApoGmQpIIL/7SiJD/MbHJDn30ZpPG3gbl8+dI5BQ/dZjuZ0zPLB44h/T2iqhqC0lMuXnrOad3hlR3q2xfatNqm5TSObq0IseagiBjiC5RliKrAokYk8kpuq7TadVJpiFfN7r1GwEFtWBg7Jm0S2sa2Zot/QQRnbNKi5M3NxnVuky/PMEPHMxMIg0MVscxX/3FberGG7QuFGl3e9gLi89++RUHXx3i2y5vXttke7fC3rkK1ZqIooQIUoiqisRCxnS+JM5CpssVerFCfrPIpR+8TnGvg5qX2d2tMn865cn7N/mTn/6Kl1+6wJVFQHkvh5QsOHw4Jl+oUDI0NFnEsWzSOMZ1AuaDOeODGY8e9xFbHXpvXOPi2y/T3ikhkfDtK99lPVjy1//XX/Pxp/eYLJZcutyhXC/gpBb+ziYNLULVQ6K0SYRJuB6hUqXYD9HmC/KiT5oXCXSPzYsSlxt5KmceD48GfPinf0O93iDqO3hLB9HKSBWR6dji8PmIihNgWyu2ei00TWMyWmJPPZbLFYIsUmrWKHSaiMUFpmrRC+8ikzLV51TP7dBrSSx+cBFvmtIfLLFPlwihBGaOwycT5hUTxw5fLFPV8kwmHrYVMD5ZEwkSWqVMuVGmWDEpZk84536JKgY8N3sERZny+Qucf/sSx6g4uSGty5dxPIsEj1UY8IsvHtCMDcpmnrygE2aQ+TFp7BMnHkkSEacpaSrgxhGpHFGS8+ixTrAIOZ3MsBOf/CttWi9fIPR89ETBm0V4S5/h6ZA08sD1EAsGi8WMr97/FEEQ0H7+W0RDQ5BlQnSSWEB2QpxRn51ejW63TKllErseSaSQJBGunTGfjnGXNqfTBYsMrr99heu/f51ip0oq2nzrrd/FPrL57N9+yrN7T/nTf/Mbfvjut1k5PrfuzIjTkBvffQVpq4SdE5hEEXkpj0nEAIVxonA4WXC6/5Dh6TOuXKxz8dwOm5sdorDCH9//esmt3wwo6AaZIZAXHZqZw+7iAZpaQJN8rrZvkA91vipquELAxVqdRr7DaOnz5L37fJKXaV1t0dtssDqdcOvnt1keTKnkNc5f3qO3WaBSymHoGQgeURSQCnkMwWQ1GbGY2xz0R5Cr0nxlhzd+cInypokkLmmoe0TzPX69YfLzP/mAv/1yn+kqJvvSoFGAxInZ6MVMT/qU6iVyiYBvxwQ2eOOUwXCNLYtsv9Zm43qZV6/laZYnqIKNIRrYezmc+Af8u8Of87y/wJm4SKrEOnTY+bFJuV5GnhucDHOIYgV5niOzMm7+6hZ3P7zFPAx5dXOT6xe7vPTtNr69xJmI6L+CW18+Y/R8iZRoKLKGmr6wc4uawMm9hwR3ArY3O2w3RhiCSjErEEQi1tRBEUBXRearJWlWRchSzCxDTyOsfJ3M9hFFgb3zBV57Y5PCE5n7ozlrx8MpGPzq+SNiIaB30CGnSWy2qhhpkTgAu2+RBCmqJKPJKVIaUDdltHCFJHiYdMhnGlUjj2LkyAyV8997ib3vv4YkZySxT+gEPP5sn6e/fMx4ucJYDzFNHTn08Y6HuJUci3lMXykTEKCoeXxXx/aKPPr1Po8/eEggqDR2m3z/v/1nnHvzhddDjjPsZwnjR2O+/MkHOMOQSnuTzivnibUMWYyQoxhnuGLu+zjrCHdukYYJUahTNyTMOMIeruk/tamZChIycZyynIaM+y7PT5eMvQyhXObiW+fYu2qyUZ9TS1aogYDdLRHoL6N/VuOTn7zH377/MdbSwk0Dyu0K4iTi5MMxybkWw+YGz7IycRhw5oZYi4T9v/kN7p0+m7kS73znJXYvtNg8X0eScvzx//L19PiNgAJphmSlkBbwMoNUrCBIJrKoUMnrrHMq+bKJnlMpVQ0KBY1IBX0Vs3xyjBS4xEcLvJVNPLTJoVDUiogYxJFJ5EukmoAgyiRhShCqL0pqFyGLmYsXxRTrOYrNArWKQL0QIaVzurqHhcr21Sq1Sx2OvvI4GPQxlwWyskxByWGbHrPZAlHVyOsVFqMFkSuyHLvMHJvEUHj5jT2uv9xgw1xQzc5QsIlTjUjuUuxUkPN5gpXNYrZAVRUWoY2+P6SUM5kUGohOBlJKMksI7ZD9Z2OcdUDONMnXKijFHJVeg9STmYsRna2Q2mODxcxn7cdoeoZASJY3Ucs5EDIyL2Fg2wRuQEUr0FZF4ljCsXwUSUQhQ/QiEk8kQMXKcmSChE5EqhZJEUBwCCOHIFzjux5JkpCvlrGFgDDJOOqPMdQMMYqoyBkkIpEXkCUpgiAgixKK8CLXMSBCSmLCLCYJUohFwiAmRaC12aF3qYtu6mRxROLH6JmBfRgRLdesl0+RI4E4Cohdn8QJCSPw0HAwMBCxEHH9jNlwgTWzMMw8pVqVzrkOtc0qaRyRxhGSmxHMPHRFIRBEDMWg02khlFTyOZDDgGXBRlusWVguaZKRugEr10OVC2RRhLf2sRc+WpIiSpAkMdbaZ7V0sb2YOHuxvWnmNTQDsnhCXY2JnIBIFmmcq2JbArXNBsH+nCiNSNOQLIiIhmuW2hgxlklXOYwoxQ1DziyHYGJx8sl9tFCitVGlVM5h5hQqdQNR/Sd2++BbDoOPTzipF3iWhMh7FyiqKss4wTUFfD3Bjx2CzKHU1tjaqdBTdDZeqvP45j24bfHR/gm+IKLGAWa1hCMp3LnTp3i4Igp9Wl0NVcvw3JTAjVmMHE5PLU6Olsi6SXd3k26vSasU0zRX5P1nNNOYYbHBzrUOr//Bq3R223z0r/+Kc1abUd8hbm4QhyGbV0RkucR2e4f7t39L4qnc/fQArVnh0ltX+Gc/vkKvaHNeOKQtjYmTGa7aYKhUsWIFcgqKqaLaFrVykbys4B55PBg+Q7h9RC6vIufKDM6WOGnE5w8eUswV2emeJ//qFbKOTr8s09vdpr3d4Uq8z+zEZti3+eLJEVEwp9Xrsvft1yhvtChsFEBKGewf8/TjLzg+nTFerakWWyxdC1tc4foRjz4yeON732KFz2lOparE1MQ+D5MKhq2QBCIlOYcaSKRNgVarw94PLnN98/u4YYAznDI7G9K//ZzB6AAxBiWnIkcxBVwm4yG1Tompk9KUq0hJgEuJiBxeP+X43ilyvsC5f/4qF3fXSOmAihYhyDm0XJmJ+wqzZxPW/SnLxQBDFRk8nuJYCeWrW8j/8grjXI8k9YlTmf3PF9x77xbeeMr1H7/JuZe7/M7LCT3hU1LV57m8zbN6AbkhYiUOkZ5y7Qd7XLmep9YqIOUVEFRGz5foj0+ZjiWi4RonBlmB0Spi5iSMfnWfMJNoNMt06mVi32O+CFj0A7JZQL6gYNSLFItV8sKCq6JDJ3iCVFY4Tj2M9Ar1C3UuXL/AzS/ex11blKoGy4XLl7/+Daokk4kSoaCRFlVSWSYJIXMjxJnD29d7NNoVtre3aWzI5KohOXX0tfX4jYBC7Ifc/LO/5/7Hz4l0j/V/9X3qTQNJW+Ktxzz4coh3MOBSs8e7736HzZfKZPkUf7bi8sUaz+6eIqomJ6en9G2XTEwRgoAPf/sZ5VqBwwODjXM9jJxOxTBxJ0uURGQ0dcg8iXDmUhGgNVtRHJQx45CcItOomQiBh4TDOi/yJCdj7e5yfHRINJbI5wcU6hXS7A3SZcqnHz5h/5nLfDHiwekRl//gW+y9dg43nzBVBEppk7ycEsslPl23GHktnu0/Z3X6nHQ15Z1vXaJWq6KViljrPCdPz/jsZIyzHKNHCYmokSYJgmsTyfDk2T3s2OJZNU/xThMjryAIAkpsYkcFXG9NpWoi6BIvvXOBl/+zG5Q2ClRKEqqQMf92ja1Xz3PyYMDNf/dLmB9h6DrXGxcI05T+byf8xf/8Gb3X2vzhf/Eqq3DNaWbhiE0m/RFHzyw+u/mMg2cTGpdfYePdy/T+xSXOVQXyIsyXW6wWKTf/5iH3/+ILgqlDPfSQ/IDF2ZCjxyOK1U1qe5ukhRCkEDvbZOEKPLt/QrvZoLHVotkr05L6lIQZl4WnZGh4lUsM3+wiyRmPDInUVbnQ7GDZVZYjhy/++h6NTo1cTUbPQbAO+Phnn7Ea9ek0C7z6vcu8dKnAlewWF7IZgSCTUOcwrXA2CxlYKy50Dc6/3OHl1/cwiiJe4KFoJiom/eMpmmpwthzjehH51y5RKBQBmIwG/OXtpzQkj3a+Ss0sUDHqLAYrllaEouoUcjr6Pw4iK8mavLACFHKCQTFbM5Gb5AwTRYDdTovzFzbJajl0EQQvJnBi1jOPobvAmq1wpg56qtKQCxQBPc0Q0owEgUSUMAT3a+vxGwEFzVCoV1RGgz5WuOYXP71FrVtn+0qP0fNjHn+xT7hc0dzpIJQlSi0RQQoI8nmyyMR1Ip4/HSGoIFUNctUyupkn9CwWYoh7tGS4dGjWG/SqDYK5RUUv4C1iIj+mLGlUMxnPXeOsHIqGiFRUSCKBgp/gBz69vElQUnmswahgEBdSYlUhyASWM59VauHYEccnI6bzFZmkIqoGYSgyXUlEOQNdNwhRcDKbfbvAfJoxvjdE9ByqJZONnRa1ZoV8q0TkVBDVhNmJSCrLCHaANRqRRDGqapAE4MQhowcjZHHK9P6AtGIgqDKyoJJMHBwvoygWyak6vYLBRi6mYHrkcy6yEJMrlrHDbZLU5P+h7r1ibcnS+75f5bRr53T2yefce8+NfTunac4Mhxwxe0BDhmVbEmwLth5s690GDBgQ9GDA4UGwBQdIgiWSMmVKpIYz5qSe1D2db/fN4dyT486halcOfriUQAgaqm0PjPH3Vqi1qurl/8eq9X3r+1nlH5NP5xQqFp2VMkmuEpzOufPhPsMw4NLLNZYbNqVamSTW6G+sc/6dQ47Oh4zDkPXNy7Q3NijXDEr6lKosoCkJlm2weHWVk+UzHHEE0xOkJCFxQ2bnc8ZnLj2nhmQ3yYnwApPe1Ofh0yNSQUUxFcbTAVEhIctjDGGOmCc0hYRK3WZQtkCVEVWFYsnCMsswSekf9zi8e0htsYhsiGRz8E4diqpKtWij2wqinj6D36oqmaAjhDrzsc+kP4Y8xrLL6LaOrAuIckYehuTI5KJAHMd4XoCfxqS6SGGtQXt1EVGWkHd1Dh/ucNQ/ZTYOaJgVlm2BNErx5gG5lECekiQJeSKQSBIxIhkCaS4hJxIqOr2TLpos0G5VWVppINYNCoZCHuSE05Cx6SIMBSzJZeikCJFAnueMxlNiCQajGVK5QD2xny1lPmf8v0HR/1fAfwT0/3Tof5Hn+Tf/dM5/Dvw1IAX+Rp7n3/rz3tFslvkP/vKr7O3l7O0f8/iDh5z6EZ+oJZLpOSUl4dql52gs1TArGmnqoiZzMk1DtnRUW2GaB4SqwNaNX+Dyq9cotSsIRkbg+Tx570Mef7TDwafbZKsKkTPl1uk2Xg6JlBOlDj/50Y9ZuFahVdWRvTbNSyt0wxG6LpMkEZahYtsCoq5STHWc1KM7G9Mb99l/OCNs6GSuT+KHTJwZhXqVeGdIf57BJMWq2AxaVSbTBCeKODwfEhwfMvw/PmJzsczmhSVeeusGVk3EXpSpyDUuvmqw6r7E3Q979J72OHr7J7jTCZ3FFlrFQNJkLEVAiTP8WcTusM88jUn7LvM4hjThpeUFFooqzVxggRRTDFFUD0GKcJyM4TBjf3+XPJ1x+eVlVlc6rC030MwSN5MaP/7wESf7x/zt//KbbL12na9+7auYJPRnIbfzNhMNLnz5Fb7yl1+hvqTRqZzSiXeoqCKpnnFk1PBeXGH3/Tpe5hDNBZYaDTJR4ejjfdxuTrVtoAk1Uillcuiz9/iIez+8y9XVTeqdBvX+lKIRoysaE3uBCBHHNqmlZXqFKVLBQogdSm2ZgpVTDwrc2xnzyR99j1KzQqVRBy9n/NkJVy8usdRssOAECGc5Z5XnSPOIMM34tFfigx98xMlHe1xslrl05RLVhSqpmJEKGaqqIOQZU2/M3HM4P+9h1crUN5ZYffMyS1c6yLrAC94aJ7c7zGavsv2jB4yPJ3Tv3mNzeQHPm+HLIbOpyrA3wJ9Z7FUbOEzQM4lx2MB3G8x3Qg7vHbO23uHa9XWee3OVYkFCKRXw/JRpf87R43MGt0a484RZ5hGnMFJhOvSQZg7qbZv1sEmpY1KqdH52psBPR9ED/Pd5nv83f3awIAhXgb8EXAM6wHcFQbiU5z+99YthaqyuGRRLFdqLNlIw5/RkwNFRl/F4SFhSmMQO4lSEeUY+V4nFDFVQST0I5wnTuUckQaVZZmmrQWmhgF0WEOMYQd7Cd2OOkkOSPGHmTQmlDKVeRbN0FIqMQxf/sM/Dh2eoucZyawPdKpPqCZEQ4nsR7jwiSVQCJ2cep6BALuWEXkzgZIS9MaYiISOQphFHj5+iHRpMzgYoRQutUiQjJ0oDeiOJpO+hOB7NygbVUplC0cIs5VhWgiaNKdVjGs0KlVMLdyIjiqAqIrW6Rn25TKFiIUoxYiow7ruM910kL0Is6uSjCFEEgYwoigjjHN9VyKcaqZiBZHB2mnN254DevW3UMKHaqtFebLC51US3LOK8wjRqUN7x+P6n5zz88AmdyhrLzSrTIGFyPECzTTobyxSbObbpY2cj7HyELTxrLa7EEpa5hm5ryIZESEapUCIXFHZOh2T0OL37FLUcgZTSfzrm5P4u8jxhwSiyUqiwqJiogy6CHjOWZRxF5EzKCByfwAvJERE1Bats0WgY5JnNeO5w9nCbOApIgwQ5lpHjHEu3kHMZcxKSSeDOW5D7BJHPQS/meP+EyfkZVdVC0zRESSFKYsQ4Q8hz0jRh7jn4vo8zc0GW0AsGa+ur1BZLiGpKTdZoShq9WQbDnL56zvZhDy+Yk6cpSRIRRQGhH5HEBVzBQMcgy2SizCBNDboH+8ReRHWtQ6VWZGGlgRA4aGUNuSCCIOJMfVbWVxBkhfOeRxCDaNjE3pQwzpg5IY4bEPkZgf7/DYr+p8XXgH+U53kI7AmC8BR4FXjvp01QVYmVTQVtJGDWbfzgOapP9hFGt/CCAhOlyM6sy9mkh/UPXV770stYnTpy0OfoIODpkx7DWYBarnLhBY1rr8soxTFFfUIJCeXC8yy22jg7Dttvf8Zp7y7m5hLLr71IaWWZRBV48NnHhA+Oef/DI053PcRcZelCkVJbIQ88nnyww/b9Kf17c4a5wY3f/hK/+O+9iu9PefTeIcnehEfv/AQtibDqJWJTJFd0RC9m/viIBIExMfO5S0HSmEZFsjzhQlOhXmmi6jaqrlOyc2zLpaQO8eUAyzRpbYj4U3gY+TTqBV59dYPlazWanTrpTGSWJOwfjihJRTIn4Md3HlN0VFRB5WBnzqN0RE+KObFtspLFgIQwz+jvBwQffUY2GnFppc3V515kZbHM0maOIIfYVahtLhKe1qloKh/ud/ngf/sWg0vXkSyD4wcHdNY6FDQJUzikXfCx4zuoxhr9OdSVEU1ToZJkaLaNVGogWLusbC2iKwapbuL4CXe/e4uDj3cQBZnxcMpgMKKWSUynY548fUxnYYN5yyKNKpzqK4wslUQt0gs9Yn+OMnYp2mUuPr/CpYs6QZihljdIw4hZb87Rkx55LiIpJm4YUwkyjg8y5rs9nN6UxkKDPc/jn3z3XYafnJENUrRNi2jgMtrrUdm4zCx2UIYRvpsyOs/ZO3M4cuaYa8uUt9apbca80upjpWNyMeHsmsxltUJqv0RpZ07v7JzuwZSKKVAOTJLjiI++exu7/RvMBJN+q4YsCmSJxTf+8B0Gt3uI8ZSNy8+xdLFOoVpFy2VEKaGohrQ6GRu1IgcrJpPZAnZFY3A+o/vkjMN5j1KrxcwNmZ6GzO74DLbMn50p/Nn4l1D0X+AZM/KvAh/zbDUx5plh/FmS5T9H0f/Lz/oXKPqFZRNTEmkpFVTJRR0L4JscZzaNa6uUGjbmosVsPOaD4yPe+bt/gK0WWVuokTvPWr9HwYxqrYW61EFSoJlPuZY8QJM0pLkNbo+D6YQnTx4h2hU2rl5n6Ze30JoaTV1n64VfhuOQH/3et9neOebrfxTx/OtbmBUBspy7d0fcub+LUK1z/Stf4Rd+c5P2BqSpTSpU8CoVeh9+gmGblFerrFzuUC7b6JrCqD9gMpoxGfrsHPRJnQTLmRFHEZJo4EwciXf/OQAAIABJREFUrKLC6eERklZAtDIags+6HjDMQt4+TNk78DCaCp0LLbZe3mDjQomchKCcYmUWE8dnXC5w0B8TzUO8ZQOl1cIsFsj9gDsnuzz+vW9imTbzOMH3fCy1hBUFFDSJas1goVKkVDaRWz66llITdlCzAumqyl/4tUus3Cvz9T+6y623v8Xc99CRWCxe5u2/+xGxscWNL69R2bzCam4gRXCICWqbmAK2KqBnHo3WMu2tGsWKTuetFv3xBPfOkNsfPsb3I7wgQYxChKLN4OAMf+qQBSKNdYF2o8lB0udETClfvIT7+JDTO0fIpNQbJVbXV7m0FZJkItV2kU67xd6jHvc/2qbbG7F32Of+Y4/dY5WffLLPJJpyYavJjYsbnIUOx9+4jRLLqLKCN4k42uniSzp3MwFBldBCmfFkzs72kN0HPVQfLnaaLK7UaOsTFhSPonBOFZfLoshUWWBwaZ1qQWP+UoeD8YwgftaFW4jg6Y8estXewvTrjNYNIknE2T/i3jdv4fTPef35SyytVWm3C6iSS5pl6KqDoQwhy0gTkVVqNGyT+eVLHOl9Du88JtWaTIOM0dM9tg+PufNolxevbPzsTeFfgaL/O8Df5Nl5pr8J/LfAf8j/AxT91efLOYJPFEXMvYzDc5cHe6fkDYvnvnqDxZUa1TWd0WjMo09L3PveNmcnc9JgiOSHQIYqyhiKiuQLyHioyhQxchFzgWSY4w7nhF6ME4YoxQJW22ZppYTVkFlQAaFEXBU4f7JOmIQ8eHqCcEehVBCwiybbewf0nAlXXr/G1usXuHxRoVZ3cSOVg2qRwHAJ8VlfXqaxWueNG8ssbJZJ85R5usKkP2Pv9jkFTPrnAx6MdxFUiWEY8867n2LdUtibrXLh+SXefOM6e6fLZG7Oe58+5vbbdzh3R9z891/k0ptXCd6ooRuHdOSAcjoiDQOiq1c5vfgy3rsVooMHrBVUFtsCK+0WgVfgdlThZHCH5UaZK2st8ixjMk44OT5ktzdhu7jG5Y062qbI1dJd2npKi0MemJtsxys8fG2ZYx34sYl4L6dlVoiqGXv3d7EUgx/+10d8+38V0aYZqWwQBAEtQaVRhxuvPM8v/8pV/srfeIvKYoAtHyDlEZZSwXObPHw5Z4jL2f6E40+O0FWVMI/RZQk1zTHEnNlpTDTpM+tnhP0p33/8A6JsTqVa5Av/6S+zfGMV93qZXWmCJSbIzSnaShv9+XUkWSX6+GPsxgK/8h9/jdpqA7kChZJF0A04/v4Z6d0DWmoRQU6pLtSx1uvkMsSzEed/eEKQpBwPZ7iex3zgEk0kFBL4dJ/paY+d/QtYv3kFq7VMfeGMRfkINfcpFDNWFYWDt27yzgcPUP2MjU2b5aUGC401el2XH/2POzx0Z1x5yWeVLX6t3ubAUPne+9s45TW2TJVffV2gkRywpd1FQKWXabyfv8L750X2Hj7iw7//TeSzCGVewCqpGIbMq3/lV1l7dZVXXk9pS0/5vf/pZ2gK/yoUfZ7n3T9z/38B/vhPL/9vo+hFZPwZjCY5n352wh+99x6enPFb/9m/wS//+hILpYTIu08kGFx+8ytcfv4XefzeHne//g7BdIAhQ5r69B4f8fCDQ9ZfXkEwQ1pqk/BEpX/Xp787YzKOmOcC6xcuU7ncYn1doGIM6USnKLrKSaby2r99leJzi/zx//BtHt3bYUEvIwg5oySgutDm2q/cpHHNoF3ZoymOGco15pnJ2eCISAu5/Moqy5daLF9rY5dEkiRCnuWoSpmjgwlT32fmeujNEoGpYly5hCHrjHp9bj894/B4QnSQEXoa45HH9tFTRq6DWStTNJcJRhrzqcH9ZJkdKUJPm3hzh8c9jcff/4zTj59iY/DqWzdoNIqsrVaRFJ3NN5t8/KHMB59+xtn7fWpiAU028AKFNE2Zu0ckwU2EVCfTigTphFDM8YUMFZGsqzPZCxmMZ1hNnfWVFvXNJcoFHVnMONkeEsgBJw9OCQcBURCjFFTEWYqSpfR7J+SKwdLKGpYgUDR1xDwgEn0KpYyrLy4Tyh7NrIw/CZgMHHaGh2Rxwv39J+RIIMlEqoiRiTiDPlaryJyIg0+OGJ8HDLsX0BSBPMkJ5hmPzx+THA958vXvU7dLvPzX/gLP/1KRtVqMOT9GkHNOShsMzkWMuYz/3TkvvbpJe6nG+rU6ZskgERR6h2O8eYRyr4/T9xm7Aw7UIXkiMDh1mM3mCB2d6MCmJSyjKCtUitcJpy5Puxnj3QH3fvc9ihOH5lKJ3/jaF2m2KjSWLKaOwHTS5p2ffMKtD3ucpfeoSGWyMMdKCoiKiyLOKIRNbF2HJCDWDBJJQQxyQiFDSxaZZDGlmohup1TknG4/49Y/eZfu/V2k9C0q114H/t7PxhR+GopeEISFP4OY/23gnx/D+mfA7wqC8N/xbKPxIvDhn/eOPBcY9VR2ngx5sr3PIOix+dJVbry2SkntUWFOyRgzzSNc2aO22qHV97mjieRiiqIqqJ6AN3aZHjgcbM/JUoOVos20l3F+7DCfRsymHoKkYBer2K0KBTWjIgW05DFJlhFXOpwLGUZHp7JcZbZziDcJSKIYLBFNMZ/VAYghAhkiMkIiEU8CBud9LNuk1CxTatqUTAlRF8hjCVlKUaScNA2Z+VNm0RyjWcVqVWk+dwFdN7AGDY7fdRlPJ3z6yTZRbjINQjxnTJoKpInA/GyOlCoc1UvEHRNZVpjPE1xX52BnxP4HOwwfHXCpbdNardFsFlm+UEHXdaq+TpRc53DYZfuTQ8TYpYSPp+ZEWUAa+gR+xGiWkbYUklzHTS0yyohxgXQi0j8cM586bLRKtBerrG8tYJsKkePjjWOmXo6qqqRyTCJnRHnMyAnYPzrHXlcplEU8J6BStUmzZ2BeQZIoFHRMeUpJtZBzh1wGtWORFDRIkmc8RDchSTIyJ4AkJ40y3FmIn0D+cI/ZSQ/ntIdgquRChqRZjAcued8lTzUks8xCu8iS4bEkxsiah6jInHsxSQi+kyAYEq1Ok6XlJp1OBdVSSUWVxANJ9CgUfEI3JSYjlSRSQaCfp0h+jHY4oXIiMEo88pnMUPEInTk7XZfJfp9Rd4htFWjV6uiGim7IFIoSpq1RrYh4/kW2Hx8zGwaEcYAQZ2R5/KebkhFBnOHJGYKoEpLhxzFKopEOY0bHZ5CkaKpOo1ZFL5RRJyndySl7j2cU3rGoDNqfyxA+lynw01H0/44gCM/z7NdgH/jrzwSe3xcE4feBBzzLXPwnf17mASAKMnbu6fzO73yX09Eul39hhS/9+mu0lzOumS4L8RmV8IyZZHMuLHJkVpgKAxLZo1CVWW+3MZQK4zmM3znkH/X2eP2XruDVCswOY2b9GYOJw0lviJhLmFoR1bQQvSGFbMCqNmUSTXDFDD/PkJsVLtxc4eEPf8xsklDWSohuijwXyX0wwpAg0pkmCqO+zPntXXq7Z1xZXqOx3KayVCGQ56ixQprkpFH8DL46mXA46eNmMS+/cpXm1Q5Lb65i6BrexKHXsTi9t8fOj58wm44J0hjJc5AKBpk349M/eR9RlNH/WRGrUQZdYZ4pZMiMTk+pHo5YUjQ2ltvUFm3qbZNyy0OSJxiKxsXGKq8tvUmyusnZx3u4j59iyga6KDLZP6G3N0E0y9xbbVLRKsiYjJJVpmOLg5/ssfveYywp5o23tti41GHjWgtZlJjNcmZRjHmmc8AJnpoQaxJK2SDwC3x8dE7/nRnXeh2WKg2MjQaqHpLLM0RJQxRBS8AMNSJPQawWuf4Xv8DixWUUIUf1M07v9OgfDxl99yfMZmOa1RZZrUAqCdhhhHzo4z4850zNCGUI5irWLEKJEvQLNvUXL3PzhSovyu+zHA+JkpRYLXOoXsDvZRw8HlBbLXHhxiLrG0t0NiySLCIXVEh18uwMWRngRT5H7oDW9WtQMPGqFsHMYf/xKf2//SPCPEVqVgmEjDwXkCQZtz/Cnrhcf26RlYUmqxcXqNQ0SpUBitQnzyUqpTKG8kUePRzyf/7Bp8ReTBANGXd79I7qnE2XSNQyeywy9WQmvkaaNNn50fucvH+fdsFmdaHBlRsXKVTLBKMxw7MS3e6AW7/7Q2LlZ5t9+Gko+m/+OXP+FvC3Pu9H9Hsx//PvfIvD/jmaWWXj6uvkaolZqnErLFDOl1i365wFGTvjCg/ffczJew8QvT7XXlxjbbnJ+uIqeapy5Kp86523ee+PP+BOmtMwLOpSjfl8TuAGiHmMqM0RYwdNyxGVnDj2MWSoyjY1tYgztQk9g9PIYHGxjCRqmJHC+GjKR3//HXb2VuCrVxFrKo8fnrD74Tb9h4959Te+RNEUUOYeBcMkcBOyRGDUc3CmCecnE5xEQizaLN5YZe1mnQsXI5aVEDEIOW8vsP9ijUK9xdE3PiHqT4j0KvbFCoqlo0QCQiQQzj2C4x28IKE3cJElHbyYQrVIpWZRMgw0uYQm60j0EfMJtqFStuDi8xKj7Dp2oc7j3hCGEXWjwrjrcOcHTzjqN7GXX6dW0RC0BtOZytn9Pre+9x2S4Slv3lzhhZfXaS/XsGv5n1boiRimzDh26blTaNWwOzUWb24QxOAOpjz66BZn3UfgSnz1V75AY6mI1dBQZJm9J6fcv3PCnSd9zPU2V1/s8Jt/cZNqJSdTBOaeii7npIrP3DJRPIer1xZZuLGEXrQQ5Rg1EvF6AfcPz3GCgPlRH99xkEwJcW0B+2KRvFhhIi6gZxZhmpBT5mQ3YffeU/rHR3zplRXKnQpm3UKUM8Q0Jc9iBEVAVEQmkxFjd0L10iJrX76CtVBBu9ggmwfMvn0X67iP4zjM/AkHJ12CMEbxq4hJ+KyBrW2haQZemKKHETUxplaIUEWJQPfxt0wsU+Xg6Tnd0zHekxHDx+dIscWT524QSHXGxYsodoVYlLn/gxPuffoAYfcxL71+ic2tJV56axO7ZGOyypPPDpgNFlhprvGTDx8w/Zx6/LmoaAzDiG63ix/6VGpVyESCec5gICHVO8yzkCzyOR0F7B0nPH7/Cef39lmsVFhZbLK82mRls44oKBRmMgN3ld09mcMHQ07HA1ymmGqJJMmAkDT2CH2PMBUJcwgESNIUTxaQM4M8gNlwSpbnSJZIvVRCSzTE0RGD4wNmPzzlQxLMi4ucH42Y7h1hiyZqLJE7KbmSgwXBLCRNU6IwI/IjwiAmQ0TVTGrtBrV6AUMaYKZzpCSkYDUoNlQKrSKGKCImCUW7Qn2xg1W1sEUdMRaYumNcZ8xs6hL6c0QhI3EiEgK8GMRcJA5SsiiHJIUsRRVzTOY0iwWa1TJ+MaBsFnDP+6iGhpxKjLpTQltk2ktRUxAsgenQZ3wyZjrqIhFTqxawbBXN1ImZIwsQ5ZAGEaPZlEQSaCy3KG90qF5cJldzwmGDdOwSnPe5//CEjfU+TmRh+ymGrHG0P+XwdMq5F3Lt8gqXb3ZYq4Y0dBcf6Nk2xVKOYWWEYvyMibBeZ2m9RKFSQJQy4kigJ4+pj2SMXKSnqkwkCUVVEQQNP5YZeBL71hIeHmkcIIQmT7ZHHB8dEHpjqvYNdMNClCTiLAZRIEtg6k7xQ4/xdIQzn1G8eJHWxRaFVonCcgExMYjdDZJPZYJ5hf75BH/mMRM9kllMlqeEwYzBVMfyTIYjB0UxSZugSwaaJJNEEaahUbJVSjUTz/OwFZPZOGB4OOJkf4pUgY5WQ5YtYj9j++42wtSlUJBZWW2xtFKj1SqgGxJ5lLC2ucDQdNnbn1FrVdh99Pn0+HNhCoEfMpvMCTKfyWjMkz/8CYcFi8ffbtO4sEEmi3ixx2ji4PdiTn94n2IUcv3LV7lyeZ2FjRLN1Qxd8dlExnr5LQ7P5nzjH3zC2UdHDA+PSC2ByE2QqzKSriOGGbZogrjA02xEgk2WLHGyU+Djdx/z9L1bXL+8xNpyi/pKCz2LcJwC436IO/HZ+/pd7ouP0UTQd/qoZo3gzGfn7gl2ScVdrCAaJtPhhNP9CaP+lPk0QTQ1FjaWsesWigqXOGBd7pPqOZaSE1s16p0in2YOsRbyC1+6wpWbixRKOuVGmTRN2X9kc3pa5OxwQFDO8Wcep3JCNoyYewnHszmX0mclr0hVSC10P8OUhqwrNv1lES8oMfuGQn1ZpWgWWdLXef/JU+b9Ee+W/imtpTYLax2Obu9xcHcfPVG5dOkSi5uXKC81ibUIW4gJ44zx0OV8MufR6SmppLDy1nVqV5tcfa6JbCkUJx77GxbHD4f84O/8gH/89rt0qg2ub63i+iOOBtt8dLQPnQVe+61L3Fz0+LJ4GyOfkAgVfhAvE0slhvMQzc5ZWm2x9cYqK5fL5GFArb6A50RYyIxO+4hZxEfDKZFuEGQZpb7Pva+/Qzmfk794A0kv0ecZIPad797FubVNS5Yx4hgxCInHc8TcQFRFBlMHoZcQ9iN2+w6DIGBxrcnmqy0qRYVO0UcnQWjW6a1U2L73FEHRSVyZve19TrQYXVBxpgn3759xOAnQVyFLGizWF3ANiVnqM3V6VMpV4jijWTKYnihUCmWmZ/s4XsbDb74HkzXCeZ2CUGE+8Nl5+z7ZuMvWc1tcuLlFuWOANUczUzIBop5DLmeUKgrz8OxfJ8N/ET8XpgAgZRISKbEzI5U10lnI+cMjDn7wCbEk4CUpeSYhRxJVGRbaVUyjSKFawayYFBbuURP6aHLOafIqM1PltX/3LW4v7XL3d2ecn/Sw7Aq6HxIfDYkaRZx9g9wUsJR1BrqFHxR48u4pT771mOJkxltvvczmxQ6N9SrVuoWYpcgp+G7IJ5/ssPXxOf0k4qBkEpyMufWDO4zjKaop0l6s0rY6zKZj5m5M4KZ0j0dYRZOKVcIwVWw9pigFSKlDEuUIco4aCzijAadel8XVJpdfaHP9hWVMS0WWBeaBTxRXiWWJefgslz7xPPJiSqpo5AWNtKJQlAXqtk04G6LrFueRQ9HqIcoii8U26UaRJ9c2iG5NqVU1Lm62EIsZZyOPg+8/YlQ9Z7DQY3I6xhk4mGmOGsmMQ5HPZilv1CXmM4HekUP31GE2cOl5PsV2nc2tFksXSzzXSVDSYwqGSL1os7BWIgwFvvP7f8j+/j7e+RhZEjjpd1lY6rD22stcvrLBSt1hkpygBSKJqiCHJuMnQ/q3j1CtGu2lZRYWFlmpmeiknMcJgqaAVcEVbYZZhCELrC6vgCgghi7hPOCjf/AhH//Oe6QCUDKQDQ23O8JKbQxFYTzO2LlzSLlSwF0oI0kCk+GMB7fP6A4c4kjEKLa4cOkKrQZ0CjOuK5+hkdBlBbF2gXmrynzfpzvr0vMGWJsd1IIJNR1/NmU6c/jOH37GYrtGLftF5MhGMlTM4gLnJwHdk4jzA4eT/SlPRjHLSxukMfR3zxkMz1g4X2WpuIjbnXJ+95g3btygs1imXNQo6iJSnjB3Y4zMBjfGHc/41nvvc56Hn1uLPxemIAoimqYR+yJpmuJlIQExa60aQ2dKJOX4/TGyqJKHMkrDQFIlHD9g8lyD8miMLebYQoaUOxTkMWXNoNKoUtmoUm1W6Z/2SIWUgplhChFqGmDmCngRumZiYxAMQ8T+ANN1mGQZxVqB+lKZUlOBbISkgqmKKAYUFjXykyJyliFmY+LhBKmocfA0RKoM8fGRKxbezCWKUiZOQDAPkGyTPI4giRHSlAQRBxMPmIUazhyc8ZxcEijUbIxCBVU3UVURhBBZzCgUoVozcKc2tXoZ33FRUgE/S5EyEBMIg5RwnpHIEpmgo9SeEY3SPMfUE0qFHLIZopxj2BL1jsy6UEazZJz7MmF3yv6ZSxbmRH6AZukEfkL3dIy/bbDX1/iSGNA9cRieO0xHc/w4oVksUqzoVOycMmOs5ABNkJlYC5j1Isa6SaXTYOTGOAMPRZIRAgO1WEQwZM4mQ0olKCplBD8gFS1GnkyvO2Hcm3ChXqJStxD0hChzUMQETZQRBAlSn7k7xZlNUKpFihsN7ILOAilyGHPaDzk4PWU6d5kd94gREWIBMRCJEeh1pzTrJlGYEyUZqioz6U0IPYEoyBBQkVUNSZYxZBlbzGjnY+Q0Ypp2yKIQIUtJs4Qgi8CQKC0voNVLiBfqWEMHZ++c4OkRJ4cOj+52sYoaagkKUcygF9M79+mezfAjgfLaOi/ebJO4LveennM0PYPdEZmaEw9dcDMMSSNJEuLQJ41UxEwjjnMG5wHnJzPOjsf0Zy6tF64x+6D/r9Ui/JyYgqarCMGU1dVNlLJGpiTIiYCWasSTHC/LiapF0jCiHmfkfsKs5zJ+s4owCsiqRXK3Q6ybSOIZW7rDou6QmjWmKwaTmo1c0hnGLqFi4I5mHN894LRRplY2OLFy1NgnHfi4p31moy7yyiLWtRXyFZukMGfJClHllCibo8glKsYlylWV2f4R88++Rz6egg7tdRlN3mS4N+dPHn5AMdNpWnW2T/dIxQRCicHZHm53iGOpdMsN9lligsbEs9k5jtnfntAuNVhfXKS53MIsZqj6HFV2UK0A265RL5eoGirCMELPI+492SdAIIgi7j3YIXF9Wq0SiytNKNhc+PWL1OTrZIHMYGJw9/4hR7d2eOOFi2xeanHp5SLNgciFvs1S0eK8O+TR41OOJl0yOeV0EhBt73D79j2sbxXx05iv1+v8Wy9cYuKkhLOMPEiw6lXkgookeRjeHhvmgCwKGSgpRrGNtqyyeGGFpO8xvDdEyAWEgoaGhjcNePJoTBKWcRrraHGHKNf59of7fPTOZwwf7fD6V29SKGWEdYVpQyISFcJugBcHDAZdRqeHDE96hIurLP72NbYutrkSDCgEPqmTsHO0RK/ncvvDp0yGDmcHKX44J8gz9rdPOdjdp1grU+7YFHSDhmTT607oT1ziMEGvWiiWgJrkyElGkkAWSQTDEvgJYpQzGI05nI6QSgUWnrtEa7NN6UYTIxKITmc8+NYHnO8d80d//AleJFFdKmJWnnX/Pjrs8dH+NtXFNb78V3+RVxojgtOQhZtrTOXLfPDZCUefPUV0Utq1FoKkI1HGH+bIoU80SzjpucRjkfsfPOX4uEdqFHnuV36J7b/37ufS48+FKYiiSBZ5NBttzIUCRlFES0RKvoJgqkzjGHk4IUpdEKdkkUzBFsnDmPnIwRc0JkIOsUaqK1hShJgkmEKCIYlIWYwuiohZgh/LDPse3iTgUWWf1ZUFhAUZ032Wqx7OfE4nDmvXLyGXi0QyxGKKoYEopnjBnBiNWBFJVI25H5FP5lRFhXqrTLlhYltlqsU2Sq/IMJixe3qK7/sYBZk4Twl9lygMiWMZP1OZihVGoknfCzifhIxHc9QcpBxEJSERPaTcA2kGmY8qlVDlDEXKkMUcIY/x8hS7vUAmi5yPz4jve5ydWThhBIUSaq9NrlaIvJyTw4DHD7rIsY1dqlBpVKm2dUxDpFaSGT6JSOMiveKUg+OAVABRN8kQEcIMM5ARo5Qvvl5jMg6ZezGRl0AcI0sqSBKSJKHLAjIieZ6iCSm6JGAbOrIoIaY5ZkFHllQcMWLy5IRwFlAomAh9n7BpEIkyohSz+3CIMg5oSAaSL+E7Aj1PZO4r6OSEfoY/zzj1BaaZio/BQr1BccGm0tGpuinlIMKxJUpYpIZCab9Oisrx0wNERcKyC6RCyMyJceIx5/6EWrFMaqQEzhzf80iSCEGAXIyRxTmCGDEXVQRBIIoV/JmP7wZMZx5hklMplmmsmqys2zTaOQVBJq8WmfXWMcomDw8/4sGDAyrTIo2Oydn+Kd3BBIoK1a02F19aZsXwSKoGi/oyYaVBXmnxYX/CdG/AfDZnNHcIj6FkxhSsDMlS2TtzyQKJo6MB/d6U8tYCqmF8bj3+XJhCmIe8/vpr3Hy9Tb1TpNy2EBSVfn9O9ihlPJwiRxEzPydQdKb+kFk3pfiN96jHc+ZLNcpf7SDUdYq2ycidIEkSaj/E/myE1xcYmjbFVpnl52+SyR7d6ZD//eMP4DseG0uXMcIY0oyTSQ8tdak0CyR1DaGZsGSNIbmPKBfJ8jJzMnw5xTk85/z2Y0I3wF5qcf21C9x8voquKSRJxPm4wWnP5cmjKb3jU4ZPD/F7Y4LZjHvf+4jRQYNS9gKnecypd050nHBy6ymT+7d4+eYWtVqJmuDQVCdIqoNcEIlTEe9szvS8yHRs8cP7h3THDlu//lu8/NXL1EsJMQnv3LvHaGfIe28fkDgJP/zOLfI1m8VWm9lBF+e8x1anRudCm85Km5IWYNRF5pZC5/WrcHBO/+MHiM0Knc1FKjdvUlIkrtgy6WDGaOjw/Y8fcKW6TJplPJicIU5Tcq+LPBqhtBb41LnCPekazfI5UhawLC1QHYWMx2NmuY+v+Zi6QXuxjpLJGLOc8z/4gAdCSKRKWLKGpmkMu12kMEEzLQ57PoP4hN25hlytkEkCU88nS3KefnAP4WjIUrnE1mKNq8WMRnxM2zyiboUMhA59c4GekXJUHHE6DZjpDo1ClVLZQClWiXfGOJ5HqlocuREzYUiBiCTP0LOMeDphOBwyyUxMQSHU6mhpghyOGHZTegd9Hu6MEbc6dG4s8/KvrmFpMRvVLoXcI69kGF9rcLpT5P6tQ249fErjsEBJKOEKHv1oyOZXNtl8rcULl29T8n2shkCnOmXmhQT/5jLJ9DLbP95h9+0H9A6ecBTkDPodTFVCK2gMfZ/+cED3eIKhW7yxtIFy8P+zjcYsz1h7aZObr6/Q6pRIJZ8sg0azSDJPEXKJI3HCwHeQijrW5mVySeBscMTbnz2lstejXbEQN9oIMxnRMECCR98d8J13HvA093nrr/8aqxcX2LoIijpnEud8+sGY7s6EW7//GZYTIoYRGSlqXiIbR0xcH7MUkusjNNXGT2zmwjqhWuPgMOXBn7zP0b1Dbq4t8/rLl3nxi002L6QookASCFzK6sw8gYb8CWcpPVI4AAAgAElEQVRlk9t+g4OxQELO4KNDFvZCfjDVGCwsoooFep9+TP/WU+x+wObFNuaCSmTnBHGCmsvIuUEWJHhDjadPzvmnf/IT7s263PjCS3zxr27xxg0VPe6S5T6LX/gKszF8Z/kRh58eM/3xLZJPzuiJXfqDPpV6AWWlgRV5RP0hI0PGLNmYskHmdJmP5kzjhMWr61x74xqdL16hYRl0Qo/hw0OsrsIv5jf41j/+EQVNpWJnjMoS0yBg98Djyc59lhbqGEtlus4qgecDKu/v7zDcnyJ6Irap024V+YVfep6LCzVkTeWxH3LYnbH33h47d7dx4wCkFK1koOsKg26P7LzL4weP8dOYLMsI4hxJ0tGClIvVIm2jSlvTKSUiViqSqwqRCIN0TK+8ytCBcd9nduCw0Fjh+atrVMsWlZaF92bESW/A/YMzel2HcJoQOjMyclIpRw0lpK5L+iQgKov4VpUoEfACm/Gkz85ejyh1+dpf+jWu3lzkJXtESZ5xmR3mqcogsXlqXcYTh5RKFmfTPlrqYNZnjEYCglagKFeoqCbzKKNul5FyiYQE1cxoxguoqcp8NKWzUufFFy9wxbKYnZ8yOD1heuQym4YESUJBKpB7c56+dwsjvfG59fhzYQoIUKhqGEUNzZKJspQ0EZCy7BnSLE1xgxA/jSlVKhQvtDFsA7mv093ZY3za5f6dI0gVTH0RORNwvTkP7x2zc3hK+foGV15eorNaZcPcg3xIXSkivXKN/mJG/47L/P4ujjdHzFKyOOZ894Tu0z5Vq0jeKHGWp8xTg8NQJ4wV9o8HzHsjlCRlqdNgYbFIsyGh2w6qKBCJCRo5gqiwstAg8RP8tEeQxOQy9HsR93pHiIWU0JujpjLe0Zig61JVLMQkQxZAEDXS1AQhJ3INPDdiOBS4f3+P3YMjaleWuPjKZZ7b1FiWjilmp4hKRm82JRMN7GYFvTGjawiUnBmWWSS1C2SZwsSR6Xb7pHmCWV5k7scEvsdsMGIymhKmOXa7QmO1RmdRolFQqE5lxHaJPBcYPHUpLdl4fR9BEEhcB68/ZfvDbaIoQlwXyM88huUaaQq56DM9m5G7KZmXUG0VaTZK2CWZ1lYBCjp2mFA5UTl7MsQUFch8aq0K1cUyqmVQpEAURUzHYyaTCUmScHI2gSzFEHUMUUOTVIQgJJt5ZHpOrIh4EviSxDgXGMYpk76DP3CoXmizfrFNsSzR7hRI05RSLyc0EjRDYrLr0R94iLKEZhYwVZ107KHNFGRUHD8nC1MOT2KePu1yfDykVLXZuLSAXQFFctHFGYV8RCiUSZUSzjglCDJ8z0XVoVIzaS3WCTIRP9E5251SqPUZuhcpazWCXCFVHLJEIxzGDE+HuBOH5zfWWL/cYarmxA2JZsvgfHvI9v0DfDciUUPyTMCbOgwPB59bjj8XpqApKp0VG7teQDIEtFxFyASC/pwwcXFdl/5whFq0uPDaVcpvXvi/qHuTYNuy+8zrt/v29N3tu9e/l83LTCkzpUxJJUs2boEyRNhBFa4BAwKGRDCmJgxgQgSBoQYEuIICqixX2WXLlmXZkjKllJSZL1/fN7e/p7mnP7vvGbxXwsK2SAU1ECvixDn77HXWPpPvi7X/e63fh1E1eUl8mSffucOkO+LPfnCHa/eP+Y3ZF7DLAvfu3eEvbz2Gls1v/NYVXr8UUiv1eKM4JBIG9IUyvcoaWmxjrJmcPpgRZDNeO3seP3AZjFOu/c/X6b3URPxPN1neqRJQZ3/eIlpETG8+ZXL6hKWlBlde7bCxrrNWj1DqExRJQZN0IkfBjyWSrM7MmzNRTa7+2ru0l6t4Uso0XnB4/RHhN3oUko7Sn1H4CVq7jn88oyJIHLXbZNUyuqQwGmQMThM+uvGA9/7qGmanyru/+Tm2Xm1jWTFmNKaOgyBaiFWZZBKipAmF5xKnM5RyAz8vSEyoLnV4MD6g+68eYZg2ly+9ynq1g5rnzE732O9O8BGon12mdXGJi80htjQnHjlUrTKDoqDvTBhlHqxZLI4HVFLQTj2u/bOvY2omM+MWPiKFahGJz+PtknhBMY2o6xor1QqdepkLFzYxzuYUVoQtiLTXWxzt+eQ/uEazYfLlz1+hea6GWSshZwJxlNPfH7H36ITAC9ELHX8WkidwMBnTDxzUVZmV3QZWYSFUW+RSwjjTOLgfcPfjQyaHx5SljLffPsur7zSw7JjlpkDq66xtdjhzZZvDvRk3/+opT4oUJwg4XiyIFhmT4yEH1w8ZmyUeRwVzJ+Dmo30e7e6zGM+59MXXKNWbqLbIiWzhiDaIIoO8TD+tc3h3zODplPHeUy5fqHHx0hmW1rf5Su0S01nM17/zHve+84Tv37rFL375l9jcbrJzaZPAy7n9F9/lxrdvYqHyha++xrmrNZrLBkFYMB8HPLs+RkpUdo8GHE/7oCtoFZ0P7j/+1Hr8uTAFRZFRVBGAJE0RxQIBkTiOyYqCPM+J0xS1bFNq1Vg+s4JkitSsEoYD896Mv3p4yMlwxP37T1nulNh9dkwi56xstFjfalBWQypCgRBNQRqTSyAaEkrVwosXxHmIJGesrXcI/BKSYzM4mbKXH/Ngt0JhWYRpQO9kSjRZMHu6R5A4aHoD01KQ1QxdhhgfqdApCoUkSgl8uHfvgL2jISvbO3z+y2+yttXiVOlyEDssmzXufO0Zx4MFxXyBLGqkAghxTrYIOT1ZIIcShqxzeBTR7c3ZOxwSxTnNUolavYyiF8xzGV/UmUcinpDQ1V2GbsB0NCWazrAoiKmimho7Z2tsnFtlmxV69w/wgoSPbz6hpw+p6zpC1mU2CzGtCnrJJBNzmjZoRY4jphSKAoXIIvDIZRGtbKHmEtVmg8byEqIpY+saWpxSiwyGscNkMkMoJORCQctSDMnE1HUkSSGJM7RCQKGgJRdIKqREzOM55XKVVqdMra5TaVsoikASQ5blnPRnRECYDAnSEEmymOcRxBl7Jz02TlrYlkCwZlMUMl5UwjnwmD0ZoZOytFRjY6tOpSVgmgWGlVAUOkVRIGolollGo2ywK4IkSQiqTEbBYDji+o2YslVFporvJRzsnTKduQjC8xWrJycuQaKTdyo4LwrhvQmMvIK9W8/oPRmgpjmbm202tldpb9ZYX9LwPYlpfIa9kyEfXr/Jo/ce0bt3xOnhEmkqs3fzCXmUs7q1TKmsU22bWIpPgUJcEjDKOpKmPJ/Z1MtodZuVsxcwxyknJ6efSo8/F6Yg5AL+iUew5pL7IrqiUOQCs0OH7v6E3eNjHMNgeXOFrXc3ePWyRsmMUOMDvLdUFrMSjvt5Ht4+5vvXbtFu1jgeh2xfOsvS6lkCqUJXKDOKI1xpk8zvMBOr7D5zONrvM314SE0X2HrjHOffWgUZPqdu8dGNRzw+3OMbv/sDHn31C5RKC6JJF3kRc3rtmIvWMq9vXsRsqyhLCqEUYbo1ilwiXJSYjEQe3enxzY9vwHqL3/kvv8jlnTl1+5hXxSm+KHN3521aa5c5uv6IH/6RSxJ4TJwR128GlKolyrsnqGYJQdGYLgI8L+Dhkz1azRKlioU3lNB0jf08IyydI8826e9P2O+CO0h4+Oc/xO+Pee3qGfx2i+aZTV7/hQs0SyGyskI//AyL05gb/7LPtT/+iF4xo4qEH6cY1YikHxIPQw49iTVtgBLa3Dw9ZOxM6I5nlKtNhHnB0kqH2qrN1bc2KC2df/5/ZzE4BcdHXZ48PCILChbDAF1QEP0Y59TFrhiMJw71tIoZLthMVUapRu/GgO0L59jeaXDxC2ep1wQ0TSGIMvykwPYyTFskclMWqYNn51QvdmhYNkEQcHs6oPj6dU62lhCNz2N1bD5aODz57ocs7u5zZrvJubM7nFlXWC1NEfQpeSmlbG+QTwRmTwvMtMXJ+BZd10Eq13nlzSusrFo4ks+PbtwiHxwhd3OUGLI8Js1jLKvEwe1HKBmMqmWOV1ZIKYgUmcXMwRnNOX1/l8g9ZadW5Y3Xv0R5U2b7kkSnOiFwPdY3t+h1V1hbsXn4yWOmN/f59l9+hB/GyLnD2ZdeQi0ZWM0a3nSOXVGwNIlys8xtd8TMlxlFHusvn2fzlYvsfPEysi3xu3/+nU+lx58LU8iTnOOnp2hyTqViI8gCvh/S7805OhhxOnUx2i3a26usbi3TUu+zlS/oFGOeLS/Tq0vsfHUFeb3Mdx7epX/cI0+fb9Md7g14/P4h7kkbVZW5p15gHAyZuB573/4Y/2BB8WzA62+d58zFJV59Zwm9LJOnAhdeeYn+YJM//JPv8/3/431KpQpGLpPMXTRfoN000JKMeBoTVCxOZIWmfIE0gX435rvfvc+dW7u03ljiyi+9ztnPxrzk3WVLhig5YS7VOdTqVM+v0p1OUDsGjhMzVRSmSo4uRwh7C0L/hDwtSCKfPE+RRPBdmZNHRwz+xz9EUmSq5y9QbdiIsoKfKMz3b9LfP0IaOmzU6ly9fI7t3zhLpVNjdX1KXTihypgf+VeI1htgnmG3N8Hb7eLuHyOIGYUb8f0/+AHD/T6ULiNfXiKbpRzffsqzJ11OkpSdM9tM7z1h4+I2r7y+xpXXt7BqMoWkMJvFTHrPQ2LmXZ+TaZ88iZmoJqJQ0N3fp+wMGOsCam2H9rJKZOXs9XuMx0POLdmsb3UoNSxkM8WwTURvgRiICAWMph6D4RSxVKG11uLsL7+D1aqTJAn7P7xB9/oTRrcPiWWDnfNbzLSMo48eMh+MeOfqWTa26kj1nEyKUQQBPbNwJynBXGQ+jfnwxiN+9OwBlV9/hbOXL/Mr/84r1DSPeTbjV4P/gPsf3ecv/vtv4J3MiKce2nIZSdFwRlPufP9jijQjknPiLCUVVDTZgLRAPPFot03Ob20j6xKNZo1mPUDXPWwrJfYiREnmN399h4+NkKNnEx7fHTKeOhy6DsPphISUa9+7zhsvreBUqkhShOfN6J9MWDhjUl3mpXdf5dKbFzhzWadkOPzup9Tjz4UpJGlKvz9FMgoqlRDb1PC9CGeaEgcJSZyjlHVkQ0UQM7TCxc4mlLMBmmGjFCqCaWE2TBrLHSaDp0R+gj+YQBxzIkkEBzNEWSbSTPzcYe65zK6fIJz6tO0KjcbzCHPJyFH0FNsoEOwCy1S5vNPmzv0x0WSCO44hSNi0LbIsI3ADnHGMW04RRBFFsXC8kMdPHB4/GTAYz7n0i2/Q2eiQkxKlGVFcgCgjiQZFLjOfTZiMBnixi1LSWDqzjl41MCyTrOszPpgTTBzc05A8B02ViJKQeBEhzeYUWc64O0atlJBknawwUJIctzdhu2zSqpbQNI2qnGOJEWY6xRLG1ASXNPPJZYNCzUiIKIixqxqWXUIzyjzqewyeDbn2vX2q6hrVuUXmQBpDmhVoJZusiKmu1Kh1LCp1DdUGQRBIEoGkZqJpKkIhEiUxhSxgrLWRFJnJtMsoTXm02+Xq4xpy0WBRl+g/GzPqdnlj6zzlioWqyghSiqTIyGKBKBTkcYLjBkycEKvZorG9SufCCkbdIEtjqsUldoOC47vPeHivh04DxwhIpyFaBrWyhW3IpEpBmgmIiUoeaASuQhzKdLsTrt+6iyum/PJXr7C+scxac0q5OKWlZRwF56guV6jVm+TjDN3MKXXamKaOJhSoyKRRytSfEQQRk7EDWQYZWIKELUuYukae5yRJQpGnFKmDpORIgoxhWAi5znK7QzySeByPETKZXC0xcnzmQYDyYYEcCZTWBEqajOs4TEcu88WYoqxhtcqYNRVDm7FsTj61Hn8+TCEveP/+Y4x9EU2WuLKxiZgIFKFAMAgJZwnKkoypKghpSFO1sYohCi4GYEsqtm7g6jKFrGLbOrVahVjOSedT+t875YGXEeeQmSI2NiGAG1JRVLY/s4leqVJuttE0CVUr0MQDrIpCs1Lh137lJdy4YP/pCbc+OGKymDE3oHAN0sNT/DRjeByQKymmNmM6cXj48IBne89YWq8hm1UST2I2r/JYepuTIqVI5/ihxu6BysH7N5hcu0GlYnPp7Vd47Tfe/Bu4sO6dA/bf88g9n9bmKtZ2E0GGqlBQ+AEL7wUuzBkSjlwWL3BhjSUbXcnxi4RYMFAkE0+xkIQ6eVEnt5ZJAo3R/X0Wew9RQ4/aTon1tRrLrS02T22O+wNuf73H7ie3eXflDcxeROIJ4IYYhkW5rFJbU+lst6i2TQohoChyjDBnpoZ4nsPhcMhcyGm/ukPrnZfQazaOu2B22Kd7Y5dvfO06ra1leH2T4b0u1SijJEiIXky48JHUDCkL8Gcxi3lC/3BEfzJj4Mw5d+UC61fWeOmqyXotQpcK4jNN7qx9hoc32rz/T9/j5L33qZRs2mIZo1FDjwviqUMSt4hCBVFUOB3IjGcSj+7u8/u//30OJhPe/O3P84tv1SlpIZfz+yypMxJZ5zuHNrmYo5kaaZ6wtlHh4hvbVGsWraZOkYm485iTkynu1OHg3iHOKCIGkjxmPJ/z4OAYe6eDMZDxl1Ra6yVUJUDWJRQMZscl3EXI4cjhoZMgl3R+6d/9CkZFIAg9nt56xj/5xvexhRJtVcMUJQQxIU5j2u1N5LKFr0QoUp8d8dPVE+DnxBREUcKNEyZBgFLkdOwqeqEiRSJpkJBFKRoCkiQhU0AqkgkQZAlJnpPGOaSQRCmu69Oo2Cy3l/EtHT2NUbyY8TwlTHN6s0MUPyLKC6I8JpFkoizGDyLCNKMoJIRCxDZkFBLIfSRZY3O7SZElDHY9Avd55PfcDUlfoCbSBPw8oFKOmE1dhqMZsl4gqxJJXDAZLlB6GkKngibB6WCG6/s8fhRz/GiXyd4RrZcus7q6QmejTawtKFd0BEHArpuYpoaGSFoUrCwtUz+7hqjkmIlP6rgwzTCygkSAxAsQHQFVUSlICAIPx3OZxhlhkpKn4OUC01yi57lEi4h5d4QUhVQMlaWNOutbS2x21tje2qF5dEL/w4ecHD1kKE6pTxym3oKSZrD/0UesVcqUKjKaoSJpMklaIOQCgvA8EDaMA6a+i2CZ1M6t0b7QQa2ZLMnLeKtNrFBg9uFTZk+GRIaC9OyUqiAjhBnB3CWYBaiWQJDHOIuU+ThgMfWIkoSEnFK9TLVRom6ErCgzykLGrCzQPmMRiivcer/KcLfPZDpiSSyjCgr+1EPXJIY9H7ksoksCo37OXn/K/bs9TnoTyp0K2+eWCRURTXmOeBekggSFerlMnGREcUAmxGyf3+T82Q7VhkW9oxMEGdOJz8iLyfIczdSZSzFRnJCKwvNC6emIpeMBRqnA2WgjrOhkeQSpRBaLLLyUe8/2eXhyjH2mxvL5Dq9+cZPqkoYTLGidrZDbKu79kFl/SggIRKiKRuLHBGFClBbIiojI/882RJntCn/vP/ttBt09vPGUJzeekYx9jEBCtFTSOENye7h9CX+xwzxX0dQqmbFMmtkIiYY41JndOcKZuyw3q5Q6bb702RVsS8Z3Ak4OXGYjj8pBwXjPRfNTvCxDjjN6TwZUlywOn6ZsbG5jyTaSYWJoKUkOlu2x0qnjzRcI1YTa2SpjJ8BolgnTjFkyZvdkSuymOP59NEFC8kMyU2avd8rs97+HWbaorLV+Ahc2CxPivTG9W09YWtnh3d9+l4tXy3xx9S5yPESUZW6VdtirhvhWxFz2OXt1i9feWWHzYuXHuLDpdEFld4YkiIxFjeNByJG6wM8FHp54SIOcubJPur5CtVOnaNcopAaF57/AhR1y/PVrLIkaW5sd3vn8VdqdCsvbJnkxZycos3JxlVs3r/LRB8+wiypCZJG6IYU8pdrawlAVVFFgPppSslTiIMcdxuRzm+nCYxbm1FZbXPr8FhfebaNVBER81JdXCXaW+D/Vggf3d5H+6DYtxUSxNU67MaKU8skPn7LSqlFkOWGeMx8syBYiTlwglqp0NleotavUZIe19BpNJWIs2XSXX2Zi6ux85RJW06D3jQfM4jlCbtPbm+BOQzJBZk83ENDonky5s9dj1O8hllSqqw2Ucou+I+GlEnrjZZ4RM5zOmGQCrh9xOOmTKTEXr17k8mc6z2+VxIhyamHoCUdTD0FMiaKIuRAib1QwthskUcrcC/nWJ5/wqNvAFn8ZRbYxy2XKVhlvDnduD/gX3/4OeVXnP/+v/yHLGxrvtHosWQnTJOLW2XXWrvwjHnw84oe/9zWS3pRk7JNrAs7dxzz61gPyxQWmrRJP23+Dnfx3tp8LUyjXdL76D9cZjpuEvsIH/+oWvVsndH/wjFrgYxYCi96EQ1XmaC+kttritKyjixZevMponPHJ957wybdvsKLnfOG1VTrNBquXylTKFkKuIJsD5OMRs2GZk2JKpGYkJRXB1DjwC3rXHrF0ZLLUssk2RIydFo45ATFDlHWkJEBLQXY0Yj9n+UtXeOVX30GRQc0zlBi6t08Z//lHjPoDCtP8f8WFSXFGaRH9BC7s8vKQV5OP/k5c2MYbTS5e3f4JXFijYeFNsp8JF1aoEmGc/ky4sJ3Ny1Tt2k/gwlbjDvJMJjqKcGwX6jJiWcQLUvonDruHCwaTGUqzSntzhY3zW2w1M9qGR40JRdlgT5b54m+9RflanZunP2A6dpjO5vQfuigH0OoYXNzaolGukjg+wTxgOA+JvQy1bCPaCoouYEoRdhZQEVxkxUSezbFFg/bKKs7hAtGWOR0tcJKU0YGDdCxg7u2hKhqyrJKmOXtHh2RJytr6CoWXc/LBHmF0GU0TGJRUQGc019i7c4/x8RA1yGktt7BXBKpVFU2TEUSIw+d1FzNLmfsuY9fBXF+idnaFzS++BZLAfDHm3p9+m+Ouw5/+4fdJsldotjVa7RIPHh7x9X/2LTbPrbL25hk+e3WFmjqno3hsSmOaecDIbNHTVCoNHcmEQIkxbJm1rU2cEJ6994CDG3tI2ctk/+BV/m+28k9vPxemIIk5ldIIQRCJMpXW2WVSX+T04SmF6yELEp4b4Q19Rscew7BFVtaQZYnIq9Jz5hw8PmTUHXDxQoNGy2RtvYFmSwhyQp5kSKqAqorEWcoi8UHRsNYbGFULxRcY9w6IemMeP+xDrFIpl6mtlpHEnDgGZz5lPvaZeRGZorB1eZmdcyaqrkCRIEYKwTRGaLbxFw6GLmFvLyEaCraUokeQTBNyd86iSPC8GSQJWhEjNutYKzqqbSKrCnkmkmQFeaGSRTLuxMeduyx3Stg1C8WUEKQCipQCkYIEQRaI45AgChFslepmG6VdhY0G8cLFn4eI3T5hEBIPYxIBFn5ESW4ieCEV28C2TTRZQ1IUJElCFGJkyUEuJNBU2k04d7bDDxs6C3KEIENDR4xkcl+kezCh6inYNRM/SBn0HOZjFz9IkA0Ts2pjVQy0okslmrBEj0gzObFsrOU2ze06VqdCmGTkQsY0iSmcAKdwmM9CGuUqZ6ptiCAJIYszpAwQM5ByBHLkIkUqciQyNEHCUjRkISCJC8I8hbICZYNUFUmKgunUIY/mkAsUSUQeRiCC67oUPRE/yxg7ObIsYpY1CkQWPix2T5h0Bxi5TLtexawopGmErGQIpMRJQhAGCElC5Af4aUprpUnrzAqNzQYoUM4NhNNXWDzocvKox73bJ2xuLeE4Hk+eTDmdz1nfuULj7DK5mRMlAb6Q4Gc+YR4Q5hGTwCMLfVxvSp4HbKy2WF1vkIlVsuiQqedx75M+5uXOp9bjz4UpaMRckZ6hVHX6QsrwtSYV2+LBhzcJg4yWWaaCymSa84M/+IRSRya82ESqmrhPJ+ze3ePg/i4lUeHq1fOsXFinubWOYblk6fOcQDHPIE0ZzGaIrQqN7TU2vvQKRr0EokDvziGzpye898Eu1350iDNTWH1FRbdEMrfg5gcH3HnWZ1atcuHNs/z7v7rGleUDZFOnR0FclElPZfbyAF9KePdzZ1l7ufOTuLCDKcLdIzzH59SPGaZzCs0gL5WJVJOT0ERIthAK6TkuLDZ5/7tdrn/4Q2aDQ8589ovUrDZaySItQgRZRIgLIt8jjANOescMZyM2rl7kwi9dfo4L27QR04xkp0J645DQCxn2Z8wnC/YOTkh7I8QiAU1hvJhgRxb7h0PCyKRkC3RqVTRJxlETZDLW1ywuvbpK72hE6noMxx4T3+Hx7IAzmztUqzJLrSoUCvNR/NzQphFKpYphG0hCSkML6AhjmskzQqqUtTXK9Q1WNpcwVxtkYs7qmSZSq01exITzOU+uP+Kod0B3b4qJRLVcQU0zlCQmnMwIZhUWgcxILSMIOpNIQhMaiK7BwfWb9O92iUyZl3/pDVqbLaq1ErIsIy1Ejq8PmOwPGDx8iKKF6GWbxJJJ8gD/+BDv8RNSBAIkkkwgi8EUK8S+w/pOk5aqkccFeSRSiBKIBeEiwRkHHPdmHPZnBIbB+Xcus/X6Ghc+Y0AeYOUZ7HyeJ/eG/OHvfYc//uAjth6vIhUKp9Mx4lKd+toailpi4Oo4UgfBLDFMJ7hpxBOnyfGDPr1v3iQajFhrVfiFX77K8noNxDJvvrXFycmYr3/4Ef/rP/7ap9bjz4UpIMBGMUIWbaRc5NxSB8GVoFnHDgI6zSoNzeJ0FPD0cMyP/vdv0zq/ytrlDUaf7OP0Z5QdkaXVJtWlZepLNknWR08FNAGiJKc/mNKfeTw6OOSVr36Z2qubvPZrF7FNkbIqIb7R4nB/ixtfe8y9793ha9/+gM+PXsW2FPZP73Lzxi4nfsCrv/ObvPXFHd6u7vKSfkBRqOwLGzxNUhKpwsF0j0pJ+FS4MD9OSFX5J3Bho/VVuuvLfycuTA3Sv4ELm4yjnxkXVi93OD1Y/Ey4MF2v0mrqP4ELS9sVIjXmIDxi9+NbWFrGmXaLslpGSkzUJCOchSg1CVNV0cnRJJGMCL/wCVMdAjByDSnJSASB6kqLX/mdX0fdbCGKEC8CDm/s0z085sk3H7E47pLNhqSBg6xkBL0ZzmWENqAAACAASURBVKjBKKzQU9skYkovLhjOJY73Zxx8sk9y7LL92iW+/FtfprZRxizJmLqBM3ApqWUOJRH30WPatWXa28s0X9tE1sDOI2bHLn6csNcf4zgu/mDCfHiKrSqIoc+8P2awO6OqmRhmhihlDAcB3eMFRwOP3ixCrtZZO9tidcukpj6mrYo03QnD5jL550q8nX2RMPdxug5Ot0+UhNT0OtGtHsNHY+7MRfKyiqGJ+KHOLJaYHB9x9AfvIYwSXt08w4Ura2yerXL25Q62bTPxM84lDdpnTf7s97/5E7FtP639XJhCjkistgmKBBcZUVdRDRlVkRDFHEkusGyZaq5TclKcyYzssEBQwemN8U5nGJqGrRvoiookgiSAJGoUWUocxCRJRpZkZJKEXjKoVA0aJYmyKVCRIyQk0sRkdGmNxczh0aMbPHz4iFatwmAyRSigWW9y/swm62tLSPIhYpqTFzkoQAzucEGQCJQNnXKpRqNcQ0oj3DQjKSCVdKJCw8slhDTB0lQkywbHJ00C7n/wkH59QK1dJ6nICKrM4niEgoIiaWSpSBgXLCYOliaTuDGBFyIkAqPhgiwFQbNptDpYZkHJjGipfXQy/MSmWm5RLdss5AA/C1gELqKlUaiQKgphEZNEDrsPj8mCjJc2O4QVBVFSMYwKBRqhmxK4Cc7M52g44/y7mzTqNVTOIUUzTh4+4uBkQlkJaOk1clViNvXYOB+T+n2C4AoBKQU6kl5GwMawS7j7Of4ghWqN8pk6/paMWdlHEXKWOg2yuIbakjh87JDOQxbdZ1imQpzA6GSEvldhM9hgv/Max0LMTC5IvDbuYZfTp08wJIn2Ky9z5oJO25qhFcdIksCBuY5YDTCqMArmXHl9lc6qztZKglW1SAULWRHw/YCpkyP7UEQ6sq6Rpjm+o5KlAacPBhRhznKnScVUOD2aMhm7yE5ENB2hr+ygm1VMSWBHyrDiIav6CZEoo0gSpbUypWaZw71TQt8nFxJCX2D31j0sUyfoTxEME0wDoVoiFUVGz47xZgV2PqdaXUHRdJqdMnY1QrdcOrKPkGnE6xIXX7nCj/786afS46cJg9GB9wHtRf8/KIrivxIEYRv450AduA78x0VRxIIgaDyPrn8DGAO/VRTF/k+7hh+KvNfbxmo6TDMDV1TIxQjBmVOuGtSXDC5cqSGgUHvW40cfTxjeHjB/0gc3x194rLXbyLlI6kYkc4lCyxlPRYKFz9HemMNHp4ymLnKtRmtrmZ2Lbc7VZzSVmHr8jLRZxyzruMo68bpI/3/r8uTWAXO9Rp4XjIyYztImoimyyAK8yhqjaEwUy8yFDgtP4+ThLrIqUO/UsJsqiuRjKSlFJqMUErICsyBguPAorTSxWk22z278BC5sfuTw5KMnLEKfHJE8EbB9kyKTefp0jD2NEOKY3vH0x7iwUX/E6WlGkevYJY1mq02rorBhzvmseBs5i3kqvoxf1LA0CaSUWTAl1BOWXrvyY1xY9AIXdu/mEc9uL7CCKm+8s/EcF1ZTCL2Ep3dcHt89ZXCacubvv8yF3/gM5ZpBRZcIfYmTJ5e58afXmT4b0nvcZbWhY4oy/mxBv3vK6ShgMK0hmzmTxCWXaxwHVZJeyIMf3KBjWVzc3mBjpc3LWY+KOMPUx6SbLYqawforK3ijKdOeQEXQsCWTJz/q0u/HtC9soCpN8iKlyFX+6l98k4Pbe1QbKi9dOs9XvnSJL2mPaSYjFDlkEWQU1hY3pDInziFr2y2uvnmJjZ0VNs9XEeSCTFQZlJcY9sZ405xeMuSwmLAoqRSFyIiAJIjYv3aXz8U7PNvvUZIUxFTF9WKcaU4SStglE8uQ0PSCRj7DLGbYwoSSOKMkmhjlKpdfukS4N+P0eIZlVSmtVtDzHLKUwd4ucZwzJ8EJY/Ikw0xUmphsrNVYKldplcrImkou5Riyi6D7KFLKy5fbaNp5fu+//VSe8KlmChHwC0VRuC/i474vCMI3gP+C51H0/1wQhH8C/CfA//TifVoUxVlBEH4b+G+A3/qpFwgzpk6TqGrhIZIkEomfQphRqpeotiu0VstoukIieBzuV0gCH3fikMUCSRSzWCyYTjVOjkdY1TK6JZNHCZEbMhvGBG5C4udouoGgSyi6jJT0UQioFkNcYhSpjFhqQFWg3KriBMeMFzMUUcZ+rYNZr7HwA05GEocbKnK+SphkdAOVeyceT58dYqsZJbNgPvNpbSuoYkE+j0hiCBYTFqdd5oNTkkoTZbPG2tvbXBIzrCThwjhhOl9w54HI46cHBEFEFBrkcUSUJ5wOpsxcF1sWcOIYIS8QvQxCldBdkGcvNu7IBXIuo2YCchohJRmZq1LEKWQ5QRwx9RxyQ8HqLFHeaGJcWUGcxThWndE0wBlOuH3ziPZ6k3LbYB7E5BH0eg4Hg1NSwWDjzBnMc00sK2fNkHDdFMlYZXC4oMh1on5KkjjIFASzBQxUFtOYUVpBFSVkOURQavTnJU66fY5OerzyuXew6yapmGDkDlUG1IqMpqQTaBZGVQdDBFmiXWtg6GWCXkR0GtB7OKS+rFOIEWKSMD4a4wxnlC2Fcl2n3tYw8z5W2seQDeIsRSJhMg04HoxpmAJWTaVSNzBKEmkeI4sFuqmAnJOmKX4QMEs87MtrKJqOrKp4noczHnH78VN0WeFMfYWa0cRzI0I3I4tAlSQksUASQM1j5CJBFFKkIkYuIopCIApCQt+n3azTbtUpbbfRRZCygmAaEXoJQ9/hdDjFjwO0uMCURYokfZ4nGkZkWUEuyGRRRFkT0VWBPHTJs0+b+vDpwmAKwH1xqLx4FcAvAP/Ri+//KfCPX5jCv/fiM8AfAP+DIAjCi3H+1jYbTnnv64+pvbqOWlXI3RHThyPyQcDayxe59PImK+dTKrbE0opAEuis1Gyu/+ApvXhBRoKbyhz2Boy+6XD7SZNS2aQi5MiFDKmNNykIvZSKZZNIMoWmoOQhduHRUBIkHCqSQL2m0WyXqNVqjGWJkqSQyTLjh0PiQUySyjjbHYz+BtdLy88XJgU5Dx4c497vsoqK6QuMgoIgb1CWcqIkJPBDnsxzxrGIkyosr62x8cY5Lv/6Dpfdg+e4sEBj5tYpn7fR37OYnC548OEBhSxhlksETshoOOH4ZIhUEWiUq2wYDZJFyMBdEIU+JdlCMjJUZhRCwDgrIaQC3qxMOA2I5hHd7oi9kz5qs8OZN5fYOrdK66yOLSgUb7X4wZLBeG/Ag3/9MfGf3KS2+hwX5s1cnjw9xNcMXnr3y3zuq2/T2QooMeOcPEdtzNlbWiZPX6Xe7uAPA/y9BZasEi0S3HjC/fefYe+8SaKskGs2Umpw92mPb37jA7oPdnn97c8w6+0j+BqCXaBKMgYJ67qEoRg8WDexW1XmJYPGkkW9VCERFpzMRtz6+vuE80uUKhaFLzD88BAlSbj42Q121pcRpZy53ESRDULFwBFyjp+lHN95hHN8xGdeWqe+VsNsGkjq87yMPI1IxZSchNFoxulsQWm7zdLbZ6m2KjTWm6RRzMH1xxzducdw4tK99ZimcELZNJl5Eb7nEkUL3MUC39EZlSwMIYHCwkst0qiEFVV4eO0hp8ddfu1zn2V9s8n2a2sYlg6FyOhoxnzo8PD+EQYwl2WcLMLLM+bdU1xFpLGYUbtsYS+vUDVbJIVHHqcUJKxtNP/tmQKAIAgS8AlwFvhd4BkwK4oifdHlr8fNrwJHAEVRpIIgzIEGMPp/jPnjKHpNU7jx3/1L8i9dob68SsUuM9w7RLVCts4ssbJWQ1L7oBaYTY2lS20yWWP3OKbXfYJtGbSWLyDaHcbOgFv3D4inIXZdRZc0LtXX6S6GHAUzyqGO7g+QJzbu9iVuOC5PzS0aRo88l1kOTE4nHtPplJkWERcpnXaDC82z6EGOfKvL8Po+/8sfvU/VtMnynDiKiIMAKUpxm1UOTwOCP3uKedtH0DSmUfi34sI2W+bfwIUpaZ3Hifx34sKG0zGjk/AncGHBwqVWkn8mXNg4k3jp8z8bLkyzdZ5MR7z9D/4+6++0uHA2YkXco8aEFXFKmxgvi1nfuErsNZCbIoOHHkudDqtamaPJgpt/8Qm1akp2dZO8miKmMrf/9EPiJ2M+s/4yb5hNamWFHU9EneT4ts2dssodVcARUmKvIEkKlLJBa7NCq1Zi6VyNhdPhL79/ndvf+oBStYJemOR9j5Vmi7pWBTeneLTgxDrPXC4IvSlRkfHn7z3l4OOPkE6ndJZfxyyVESSRIA6QJEiThMGoy9z1OTnuMhzP2Hn3Km995W3shonRFtFliS+/dZHdp19gcnTK3T+5zpPvfojjzVFljTgKceYjJsMZ9Vado7U2GjKREDJP2vhBi0cfPGV6NKVuVbjw8ibbl9q0mxJaq0yhKKglGf1UBVknylP8PCEIMkTDIJ7ohBOXcZawsztk42wTWbdYbtloeoIfhbj+3xby9v/BFF5kQV4VBKEK/CFw6W/r9m/0/lPO/fUxfxxF32hVi1LL5sHjp4x7QyyzBH5Au1GjXa1S0k1kUYNCIM9CNFlFFhXSNEXSVarNMivnNrDra7STErOKhDf0mXV7LOYefadLJifoWUpiZOSahhfDs90JiiyQdgxyoUYcFZxOAk7mc/x5gCxKSLlIq11hc2cFI5UQUoHTOCLrjxgdDgiCgMh3IM9AFCAKkBWFke8hHhyQSSKFZiAXEm5/QjOXMCQVW1OxJAVVlJFlGcScIAnxpZhYM0jigtTLsDSbZrNGvVrBaFgYpQJN8RnFEZEbE6eQpDFxnJNEEWIkIAYZ2TQhzXJSXUOKFQpMCkJcNyaKPLS6weVXN1nRE0pKwAZTpCLCzxVkwyKXCkzTZBA4uHmKasRErookKejViGoz4WL5Me3kDlKmsfDXWBHu0hRtyqJLtaSi1dfRO4/Q6wZnW+uY6ozHhw5P7p8Q+hK1eh3PmbJ3fYTtS0hZwWjRxa6VsMZQKDXGBRzbJqQWlUQiy4eYQUiUm7S3K9hGSKlcw5yJbO622b97hDxeMNMy9GqNSJefF5/jjEUvwrp5jFYpM1BNJhTsPxoR9xIsoUSy8BCnMYVl4Eg5ZgK6Z5BPcuJFzGmeM9MU1KUOpQ2R5WrGGe0UipDBcolLWsET26A1+CzPrj8lciNsLaUtlFg8m7H3qIdQqWGeW6FSWqcb1DCkLQZhQffBDeajLq+e38TuGAglA7FRkBQhxDHVckLJUKgbHTzBQa6pSMqE4/tHWMoCwWiiWSaCq1MZVogqMX6rxCz2yHORYW/wN0T5d7Wf6elDURQzQRC+C7wNVAVBkF/MFv563Py/iaI/FgRBBirAT92iVa6YnHljBe/aIcFwynB+iK5KWGc26e/vYqshmxfLiIpKkkaIYUgWzJl4M+qbq1z93Guce+cy7ZUWkjng9HiV+Tjhk2/tsv/wiKOP9ikrYGpwOhuzd+OI48djdFlltbOEuFymXl96vhTVH3BwcIJ/FGAXKsudCi+9vMqXvnwezTaYVDRO/Ay+ecjgLw2ODw8IlYRau0p9tUqnvESWZSwWC2aTCVEUcXA0glyiJOp0llu0jTqlMEGdukhTE78mgSQykmO6osC+KHP8dMjs8YCrZ8/ypS+c/zEuLEkDusM5Nx4PODqYMNv1ScOCmTvFKNmYqkl+MEZ7to5Y1ploHfIo4+kxXLt2xL2bz6i2bd78ysu88W6HDb1HXZpxpXjEuKhyInWYhAqzoCBNPGQxpFI3WV2zmS8KtLnG6ScRibDLK+cusq+YtPQyYpKhWJt44iaK0qLuSxT5gmSe0rhQp7SlcXZ7mWJLY7p7zLO7D3GdCFlSCeYLdKvE+LDL/Wsa834TKS7RWBaRSyb33AShaUME8+MRBDG1WpmtrS1WOjqlesJikaIoCtdNm+npnN2DPrPFgsjVuHe/oFyxiO7k7Jyr0qyXOBUz/ur6xziPQ4xUoWKa+NOEO0+PaEkZ1laZPAiY9Uc8HBb0dhcEvQUVy6Sz3aZuzWnqIqtKFzVzWBUV3OV19JKIm9fpX18hOpwRHp8gAiXF5va3rhMMA85svEtclhBaTeKex63vPODxvZucP7PGzvYyW+tNqk2ThqGiKT6ylCCWErIsI2zrVOvbHG7UuJY9QZ6POBynJHFGOJ/y8c07JP6Cne1lmoM6iiaRZiHPHv1bBLcKgtACkheGYABf5Xnx8DvAf8jzJxD/CPjXL37yxy+Of/ji/Ld/Wj0BQJIl2p0WZXkASYiYZOQSjBYzuoM+qi1jNw3CUMILI6YDh/nUJYwDltpnaKwu01wzqNcjNG1KWVPxOyVOFwKJrXHS9fAHfZIkQc8z9j95QJoVdMpNwvIIz1Kpd9aJsxRB8hmO+qTzgLqqU7FM6jULuSWjliWyaoIYS5jbNRRFQpEEKo0K6+sd6mcaLNc7pGnOfGQykEVc1yVeZMRejJzJBFHMZOGw5FUJZx6Fp1NUdXJBIhRV3ETmtO8wH03IgoDlpQbLWzblSsHKskyRaah2icLQ/y/q7uNJmgM/8/s3fWZlZXnX1f7tfr2DGwwMx3E5DJIrcoKh3ZW0uimk2JOko/4BnXTRRQqdGBtLKmi1pMihGQ7HYIABBgPgNcDr23dXd1WXd1npjQ7vxEhYEiEggrsxzGNGRVRdfk9kZv3y81DIWuws2ghBgD0NCNOUKIqI5i7xOMILZM4TgcUi5slun539Nr3+jPrNdRrLNZSMjiO76JKCLRrMxDyztIg9CfEWCbNhn0JBYKlZoLa6TCnQiXfnPH1/j8wi5cWvXaa4tYaLRDFS8e2UIJfF9wWSKEWJIzKSTmOpSmXNQs+bJFWwxZT2SZeTeY8oCBCTBEl4vmBmT+Z0RYkneof11ETQEh64IwoXLeREZHjSY9of0iwXyRVy5HI6+cIcRRfZvtpg0o44kRWmkzmz6QDXjzk662JMDAa2yyysUTZ1hLLF6U4fqyeSijqRHDM4H0Iuy3nQQ5m6KInItO+yfzJmeDpFTxUKZpZcViMrepiSiMmYLFMUQaWPylTKUM9nWKllsacuZ30Z3wlIohSnN2d8PHi+cl1U8SOZ6Z7N4GjEvNfj+guXKJaed0EKYoCbpoiCDeIcWfBIxRSDArqQklMtLLPAeDrDSSwQ4udr2t0hbhDROe9zaXoVXdeZ2xN8L/zHCwVgCfh3P3uuIAJ/nKbpXwqC8Bj4Q0EQ/mfgHvA7P/v87wC/JwjCHs+vEP7L/78vkESBsrYE0h5O4CFm82iVHKeiQ+enHyG9/xEX375AtVCikMng9kYMx1PmvssrV7fILjdYWwqpaV2KfIxmXiDI55m8WqJcUlGezdg/7xMsHK5euYgt+IShT1FwifuHODshPekTRrM5GSVL6EdoccTqpQuUrQymkSE1BDLZlKbpYFgZussZ3hofMAv7/Pq1W1y5tklxw6S8lkeIRabDCo/vapx3RpydjYmJQdHZnY/Bm+A+9lhxxtTXblIvWAiZlN68QLcjsPOdj1CcGVvbVb7y9S0uviCTyXhUsh6+45IzizSXS6yWJhhjOBFT9o4iThZzXCdmd++Iv/jT0ae4sGeHh3TGPYQk5WKxwXwh0uuqpGyhCx67Qu1nXJjKzvfv0dntIozGvP7lS1y+fpXaep1Jy+bazUv88L3HdMcT/pf/4Q/41r/5bS5tbbBZLpFqM6ZnCU8+fMTZ0xN69x5y/fIar7x2mZWrMvmSyfY0w/HKMstHY8LvPeLg9JQFAdeuN2jWqzTqFmESM5y3OPmRSzCP+Kg/YOl6h4ym07+7h9+bsPriVfKlPLmCTpLYZC2F5S2N6XALQdHZ2z9GbWTI1+sU1lYwLQtp2Kc/mnJ22CKTynDmkskVCbSYaTLn4GDG06c9YivDQBGIbQ9NzkK4gPmC28tlllbKVO0FJSePJcUoqoeceuQlgdgZkvgQo6I0VzlbKAw7I2bRjIUYEqQJ+3uP+c6/9ck3qtQvb9N5ckJv55SmlufK9kUaa3nkpSwONkI9RJd7qMKcNJSJIhPTXkJDond+yHsPu7hLq1za2ua1r1+hUNc5OTvl/scHfHJ0xg9//+/IkqWoSUTJ52uH+lyhkKbpJ8CL/8D5A+DVf+C8B/zLz/0LgDRM+OHjA06EGH87z3/13/w6q6tlklzEztEZ3VOXoz/e4eidHRQB5CAkDKdY5QJiJsbVeoQyZOQWjckeRl5iHEg0tAss8iJyQUeVBC4262xfKbF1o46kSwSJhuMGjE9GtM8G9Doa0VxkHtjogsLifIyaJjiLEH1msLBStsOUXuLxR2c2M9tj8/JFLryxzZWbm5SKAook4scQizHZikFmLn4mF3byyRw95FNc2PGHB8zu3ftMLkwwY0w5+yku7Mx2cTLmF+LCJq0ewtHsc3Nha/US2etNfFEle1HC7c349l++ywe/8x2O19awankePNxHFAWEmYvb7XO53GRlrURlyaRWFlGVAN2SCVdMUjtCSlMUUeDGyy+wdvsCF1dL3NzKIUoxUZpw/ChkfDJi0Jvz8Z//NZEDUqxSylgMhuccHR1hKk0qxSqyGjFxR4iygKApzBDIbtTYfOE6V958jXy1TOidsff2M/zdPvvfu0cp0li7sUXlUgNdVdDHLmn/nEHssz+eE3sB7uiEeMZzfOZSFVkIyPVsxGkDUpgbJr6UkGh5unHIwpcJzl2mM5cDd87YcSk3m7z59TeQ8hKTaZ/dt+7R3e/QensfORWYu3PyikL/fIRYFGkHDm5q85oWUUqnaLFNvCgQ+Drd/pDvv7XLD955wEni8hv//be4eElldUtANUM24xovedv0nmT5q//9e9iHc7zTEyT5H/dK4T/6EUYRp+0WhY0VKperXNiqUC9KxIaLLhXolitk2jpnmRzt3WMCd0GSJtjjOf3DPlYpS+SVCdUMY0FCEUDRZKx8luxcJBUS1IyKWbBYXWvQXK4g6TJ+LOO6If7II5e1sDWHydBBSFLsKCSZz1mIIY32kEvdCqqm4ukidpjgOz6yDGpGxrQyKIaMqKQo8vNnjpIMSZLgeyGxIKBYFoW1JcxSEd8POX5gs7DHtM8ntHZ7lJwyYRrj9OfY0xnZtQZWTkfWATlBkiQkUUBIJXw/JgxSJvM5nfGQobsgc2WbG7/8MvWKwCgao5ZydA867Lef4ro+gWOTZmQWrodz3mUyGmPPJmi1MhECia5BLBItfOb9AarkUbTKyIqIlTPJr7oI4YiCaVDPlWkdJpzc2uR7P3iA6kxJ9s/Q2y52f8bCmSMYAtFNmcRMkeIYYZqALuDHApEdMZi6nIY+fQQ2misUX1rFWtbIVn1Kkoo6SRG2VTLlgEtehnhURbJknsz6RGpMOI/oHY7JpAr+cg1VE0goMuufMR/1mYxtrt64xo2b11jaDskWRwSpx/RMZjpTmUQBtc2LbDYVNtYErGKGuafjDg2E/gj/UGDkTShaK8y8DrKUY9J2EXwZ95rDeW8MiU5BzaDJCnKUwxQNfDvGHwi8/UmXp2ctNt68xMqVK1z/xlXyZhs/NdFu5ujtDNn7g32ydoIkq9jhhLfvPKA8WSf/4hXKawJ2GMC4TCYooqZ5FqFKu+tx96dPOGqfU3pjhVdeyFJdXnArM0OPuwz1LB/5SyxdXKZ6YwU3PqbfmlGN4889j78QoTCazAirIf/6v/4tXnl9i9v5I0pJF1NssZtdYm+lQSTfgmqJjrMgnLbJZlVUP8fRdw9YPLNZzr6E8GqdUeU6TpSipzKL0CcIZbr9MwrrBbauX+TWly/QWDcRJPBDCdcJWEwcRE9lfu7QmndJBZC2N1ikPr3FlP5PHyFLAc21Mvqv3WB3POLJD+9QKqksNws0VyvkCiaS5qEpPlIoopIwnSxo96cUNjYpX13l4m+9+XMu7PqtZWYnI+7/+bsMfu8jXrh+g3PDpf+wBf0Z2xt1VpdzhPkYP4pJkZFTjdSPcUYae7td/uxv3uXR5Jwbb77MN//b13l5SyKX9og0jZb7LZ7d2SU6SBnudklTHevi/8uFCSkIAYxPzwl+zoXJz7kwT6K+lGF9uUYipAiCgKaESFqIIc+QxQmbGxbf+rULfOW16xSsKnd++gHLSocHkUsrFvCElFF/QjBweUt/zK3bq+SKWUIBevtDBkc9JqMB+VqJ5vUtbr58nXreIy8cYZIgIbCZqVGYFOifpOyIU/wgxFTrOFLKh4cHtDtHVKwsV1+8Qa1aRIhjdh7uMeyPiKSI4q0a+asZNpszyjlYBDp3xRyHs3NKSwZXLuV4/esvsH6xiKSJ2J5A92iOqqoQGsSuxPHgnIEoocgSp4s5qTti8EHIbzYNjOUCcq6CQMLQS+n3REb9iPd+epf7J/epXl7it/7H36LZyPPqUo9MYjMWLWobbzIZhLyl7nD3j39AOBiiOCnDvR79c587F7bYvplj43YBNWggJBJHvYj22OVv//rHPDpskWmU+ZX/4hsUrhdYSW22hAmZuI0l5jgSbFqSh6qHCOICcFjfXOG49Y+05vyf4nC9gK//xq/yymt1rMIMMT5HF0YUZB9FymAKeYRUZGGP6A92WS5LLC9ZrNRusHcyY3TS5g/+tx4bLy/zy//6Gv52gYwgkMxV+ocdFuMp2xtliisq5dUC2UJKksSIXgJJAoLH6fk5J/0+0noZs5in+uYNtKqFPZly9OMH/M3bj2lqJsdKib5nkzweUGvksASJcOLg5fTnCy9qiu8E9FpT2udDzkcTMhub/yAX1hsWUYzkU1yYP7LZKq9+Jhc2GXs8ftT/FBf2pX/2Gl/acL4QFyakMBtHX4gLK+RMLMvFVANsP0QSIlaqFc5OB2iyQbl8ke50B6O5QbFgEKsxndEZf/i3Z/zggzp5y6JWqpBdeJy2e8zGIza2lyluLZGv9chlZpjhIZlUJYks/DOL6SDg2c6Q09BHysrc/LXXqV4oIuQSju63lsqU9wAAIABJREFUsAcuf/zdn5K4MU2jiJk4JJGLkdGQcgaREqBIAwwhYDSucLjf4+nuCa9uF9i4nqV5oUSxoRFFASgJfi3LaKwSxylT12WihtRfe4lsPotqKkxGQ3b2D/nen35Io1bA8F9nqVkhUuD42Zy7d57xnR/f5cZXrnL5q9dZ35zQyI5o+u9REqf0hSZ3wjpiRkcoS9jCFE0NqZeKXGs0GExD7nz7Pvt3FdSvXSMraEjI7LcmHHWGPPh4h2ZzjcaVDYyChe263ImzxEaNTJAwlbPs+kW81pDH7/+E4bMWWxtFbnz5Em+//U8oFBBE9LyBHYvEYcJcryOHCiFZppGFHajMj4c4Z33kyGFlfYnNjRKVYgm9UKbbz/DJeZedey1KG2VMs0rGULDPbM72+6ReQqWUxcrLqLqKIIekUYQggCCkpESMpxPGjk3t0lVy9RK1y3UyKwXwGxiLiIO3QiYjl3uPWkwCF3HsYtTLCF6MPZzj5gxUUyDxRdxFxGRo4zgefhhS/wwuLFU1Nl7+NBfGImbZyn4mF9bte9z/D7gwsygRKMIX4sLSNKXTtr8QF2bpGkmSJfBDBFFBklLiGHJWmX6vxb3DDgtT5/arl6k2i2TyCX64zIN7R5w8HtBqj1nN+1QkgdnMJqNpWOZzx0ER++hCiCmKaLGCnyrEnow7D9lrnSM3LVa3V3jhG5vUlmSkTEB9ucR0FhNMYjr7fUYDnyCcoRCRyBn8rkMwjNCuFJGFGNtT8EczJNclf7GKaOnoloEsgyjJRGFMlHjEacR4NGEynWFW8lhrBcxChmKjRHZisZhOOH7WYjIPODp2SYWIkT3l5HDGg2dnOEHMyxc3qTVrZFUJVU4JhByRLBFhoRo54kggGs+JFnN0KSBbFVheszDHKaNnPXqtEQd7ZZRERkKhO7QZDIc4vodhGOiShtP1CCsGUbFGJ6pCWGQw8WidRrj3W0wP+4hOwOq1Oo2Nf+SNxv/YhyiLWCOT/U+6lBtlJuUV4qSGEAd0Dick0xF3/uhtTh8844pV4eXXr3Dp0tLzpiXHYuFcpnb3Y+59ssuHv/8x0YHI6sYaJ60D9j7ZIfXHlOu3MVQFz1483yeXJKYDn8UiIJiL7J91mHgJW6slrr7ynAxTSh5ynPLG8qv8KKNycNzm3l++h+lIrGVLDDs+ihSwtzeiez6jWS0+b6N2Avp7M3wb5kH6mVyYWWjy9Pryp7gwRZaZ2+5ncmGz6YI7j599iguL5CLthf+FuDBSFQHrC3FhkxWVxTWdeiEPGsSRROtoytOdNt9/65indPiV/+6bfOO3b2CYHsu1hO5ina/OfpWP/vyMR28/ZPTgnGN7QOI7eL7L2eEhH9/5iJuXN5+3httZ5o5G98Tgxz95zPsfHnI2m/Pr/9M/59abV7lRPqehzkm8AXsbW3Q9BSv6VXbvtPnoT95ndtamaKk4oyk7f/sY3Y5YqtexqgnfffuY9r37mPaCy1ffJLOURVYV/MhBUSXiOMALHaI04uysw2A84cU3bnPl115ANhQaF+qYosatrQt8+Hvv0mmd8O+//VM2V5t4oc+T1indbpfVrVX0TIY4jBi5TRaojBEw3CmDQOHj4xZex6fz7iMaisrmdpOvfvMixUwBVajy0hsWn+w/4u0fvU2w8JESEUlMiGIfQUron52xCH1a/pjO+0WUXEJqrmMHHv60y3TvPuePOmSnKqvVTW5d3+biC5ufex5/IUIhSVLO2z38JwrhSMKoBkCCLImcPpky78w5eXZOZCfk6nnK5RKFUp5CScHMS/gevBCtoasi3/vRQz6+8zGt41NURcSbusihSDAJ8GUP/JQ0lkgRCcOEwEuZzh1iBNBUsgULq5SnmFUp6i5SmhAXEy7cWCc2RZ5+tAtnDjPHRpJV6A8QjkOyloIqKARpSOrFTAczFvPnbciCKiHJIooQoRChpT4Z2USJA2RSTCuLlskgazKhHzMNXNqjMbpr0/aGGIaFLGlMJw6LhcvcnlEoZlCQCUY+8/YUTcwwkhJEYvojgd7RiHl7BlFM1jBQMmAYKpouIYgqpBLuAtQ0IY1D/CBEzBhoBYvahS2SJGE2ntC+36PXn3G4e0pKlUJNo1Gu4/hdfLeAN4ppHR7z0HmCstngyisNLtemFMUxTXfIqTnlY/EFslfW2QwVTrvfZtg9RU8EanoR7yxEfhzR74B/ScFS81gLk8NA5tmDDrunbSpXKlzf1qipfUpJm3p8TEEfM2Gd2KhyUlsg5SXc1KFQsDAyEstxieTcpX23Q+v1FRpSmU6rRTQNKVt5ZnZALlJIYg8pUZA8EckT8fsiztCnO5/hSwZCKUujBtkCZPMnKKnErdsW470GXinkwbufMHEnZDWLTqeFnEAJBffMRcvKDNoLFDVkmlvDsW28uUvr/ojZcY/x7g7bq3m2L65QqWSob6yjJAqF/gK9YhHa13jnx/eJUJlOZ4hJhGyo9NIF8XjGUnfKoSzh6Dp6pY+g63iej9OfErTPWC/lKGsahaxGtWF97nn8hQiFKIh45wdvk/tuFjSNMKOQiAKiKKIqFrHtodgxl5fXuLhaZHV1lVJNJVPukDXOIU6oFkyuXVxFiDz+6q+e0Ome4c0mqIlC0yqT9AWSRGLvzimVZgZRlmmdzZhNXQ4P2niiiFGrsHJxlZWtJjWtzYvBMzQx4qRWZvRLV1AuChwdXaV3p4V9eE4s6rS6PZ5NWygyfHR3n5tLGxiKSjAPmZzP8f0QQU8RtRhVDDEjFxMXlIh5GlLWDPK5Mi3hDEeK8LUIz9JwZY80cHGfOiR+8nMuLE1j0jBCFMrEe2dM/s/vISsK+YsX/wMu7JBRu0veV7iwVaW4riJJPrIsI4gRSSwSBC6K7+OOJ/Qcm+ort2je3GD1jRdAgTBxOW0WmD1p83c//Jj6wxyT8Q0mjky5mOHweMB3fv8tdlsdVi6u8rX//Bavvmixnj3D4ox62KY5qzAzUkarOWa9Cb6aUs9bVPNF8tkqUyfiw7fvcCqccen1ZcS1Gs5xl3c+GXPv6WPmksg3f/k1CleWcVUfBZFYNLDx8RdzokhhOomYjPsk0ZC17RLLjSKG1WBv36bV6/Nv/9c/RcoppG0HcyiQyctE5xNcTWaUlwgsDUEQ6LQH7O4POeuc4woCaiXP8tYKjXWFuplyWRkipwG91TzBv7pF/WiV+WLO9Oke7YctpFjCl1I+PjjkUa9NPmuSbywhqhpywSKKU0I/YNIZMGv3WI4V1teXWVqpsLF9gdp6gi5MUbZMlv0NnGqDtJJnfDxj90efIBOyen0VI5fBj0KkMMEeTHHdOYOdFoGfIHgJaqyQ4mHk6mSqBXxd4nTyT6z3wbIMXv/aLSwvxPY8zscLFrbP8HxIFMukQfq8rzGVUBWTOIwJ44Q4jTAEG1kMyNUNpnOX119dZngecHDQozN1cGYu/UDkOz/5CCUjcuXiBZZqJhnDwLdFPDdmfu4QxgKZjI6uiT8nwxphCwmHuQiIc3IlnfqFFexzBz0n03zhGn4UkEQOnr1g9+4zencfk1cNqkqGNI1Qo/gzubB5nEFcfJoLa1za4NLXrnwmF5YEPvma+SkuLA0iho+efCEuLArTL8yFPdw/ZPpdn2F4EyWWub9/QPtwgKQZ3LxxlfzKBSZSlhY5sknIIoYo3+DJLOHp7hP2PnjI4tk+t6+ssrG2xNrmBrKc4+GTc36484Sz3VP6axsk84CDvT6xkFKsVSBM6XU81ILCj6UNDKFC5C942jeZeSIf/t9vc3LvERsVlTf/2XXyZYPm8jJfdjOMJgF/98599g5PcE5tNExSV2T36QmdTpdup0e9UcLUDey5z6g1Y9hbEIkyaiGPVbLQtTkFwWFrfgdF8AjMJdKqhpHC6u1NMmlEt+OxXKwgZg3cio7q+WT8lO6TPZIUbCRcLyaJUnRPwohjLt64gCiKpMRoWR1FO0FOe2iGRcYskn1pheJhmVl/TkYXaRbLXLtWZ2m7gawKSKLG4GzMcOwzPB0w6U05PxzguT6GKBEOF0wFmLeKCOu1zz2PvxChoKkyl6+uwNxmZrsIhsFssiCc2iShSAwQyswmEZ6nMxgM0ItFchUNVbCQ8XGjiDQVMC2ZSs1kPNVphz5hGJIpqwziEZHtkx5pTOcGOTOLkeSIfPBnPmmUIAsisghSmqBLEnHsgxAgImAIKrGokCQQC9DcXmHz5W0k+Xm3QbDwUVWdvcUOQZgwms1IlBTVVAlmDr4dYIcqM9VCESIGscgikJkOPEZHQ8KhQ6lW58K1Lba/tE2+lCGjqniDgGQqgOMzeQpRFNOs1VHXCiRCTCYKiFyH+cinO3dZuB6B7xG5c1QhRYpD/LnLYujiVhJIUwQxIfAT5rOA8cxnsggRMialRo5iVaOUGZMRInLOiEVBYbJtsPrKFoEaMH064ODRKUWryPHeOaEbU7YsSlaBwBaxZwYDeQlPLOBFJXqOyFE7pvegxWznlLqms3lplZW1EktrGRTFgMwS3eCc45bD0f4xaQDT8yFWQ0dJRObHY0Y7M3K1LHPTQExFJmPYObax3YThkzZJz2XlxiqN1QpaXqG+apBEKnVfpzcoI0YD9ro2s/6CUIyYdAOUicA8SZktfPJmFjFSie2EaBE+f79NFBGFmIxsYMgumhSgCB6G8Py8piooGR1Z0VAViUxBxqyYaM0iRgqaH5EdKHhRTG+8YBqExEkEKQg/a4bS9TKyoOFHIXEsICAhCimp5FOqllBUiSiJMPM6peUCm5tLNNZLpHJMHIlEnk8i6Dj9OQtZJkwTnDQh9GOC4ZhxYFM8ybHc+ScWCoap8cbXNrDdkN6pjfLxFNcMOH06IPBi/ChlQcBRZ0zvYw+WJOaBTba0TC9Wib0FmYyBpmko4oJyRuE4dBmGQ7RyhqXbG6yuvM7IcXDOD/jo2SF6CCtmBU1UmfkxgutTUEOCxZTIq+MQEqkmKQIxKqlUxO7ZHO/0SAoltv7Fi1x+QYQoIq8X0QSTrWtNvleoMz2e0H3rPlllynwR0d1po5gGSy++hFh5A/lnXJjoF+k86LP/07sYksTFb7zJjV++yFe+pKKlR0iKwHFxlempTDAxuOvNqS0tcfl2nY1rpZ9xYQr9wZhF12X38Ql232G0cAiTlChKWIwEWu6QyvsnzLvuz7mw6WTB0dEAr7dg0uthNi9QqtWp5EQ20xZmNGJZO2PX2GasNbjyzavEZsSdJ2327+6CIDAhQolS+u0Bn/z0PsK9O5w9voq5UkGSBALbQYwljp/26f7VR8zOTvnyN26xeqnOxuUyzU0dQZC59MIm12/m2Hvc5nd+/4cMbBvBHxNMLc5nHtOzMXffvk8ii5RLWWTFIEkNpoMpkR8gngZcza1ybXWdcqNIZilHvZngekOiIOY3f2OFL79g8u/NM9555xFkTEIjwUsDPjpoUTo5Ja9lKIl5Mug4Y5skiFBECVUUUAMVEZEFAXISI8Y6wjwiQ44klOn3x+SsLGsv1GkuLbG+vko2ZxLGAUdHMxa2y9OHh5zOTgl9n/a8Q86yOOmc4Xw8Yxas0bxlUsgZZNUahiVhyAluf8rZ8RmdszbNjTwbX9rg+rUNiqsakRQSRAKqrJHEHkfxMdOFgycrGOs1zGaV2WzKxJsy29nnNPgndvsgKxK5okGUChiGCsLzW4Mg8gkUBdHMUMhnWfgzPDXmyUGHqbdge7NAac1AU7OESUjgRXhehLMI8b0Eo2hSqFep3miQXa1RDnwW5wpiFOL1ZvS6c8QIFFNFRCAJIxZugOOFLBYiI1lEihTmkoLopEgehHMHWdeplys0ZRtJDCkqNoKc0i2KVJbLCF5CX3n+96ocBZwfDRByFrOBT6WuE4qQRBKj9oidp8/QDJlmvcr2apWtksoaY1QcgiRhrEmIikmQSuSLFo1GjuWVOssrZVRTIRZVVFWlH0zI56dEDiTSgmnsE8UJjhMh+hH6iU6mnqc/nDHth7hOgDd7LkIlsYiiKKiyiCSDnnro+CiCh4KHKoZoRo5KtYRlWXQOD1DFAqkQE6gJUSpyfO8ZDbPO+dkzhHwbVBnRUFm4Aov+iOncpb68wlpxmXqxTtY0QZthGXNKQoegmGHjosGvvvEqH/zkKTv9FCmvIwkSwcLHOrIJXIezfIFYTkhEEcUzEWOZnJlg1ixcTUFSMlRyNbz0EXn5EFVRGCfLeFWVrQ2F0eQqp6pHabVKxpfYPz6h9/gZvf6QZS3BtEycVEYKAwzGOHYHbxHhscDXNeI4IUkSVpSLtMcOZ0/bdPo+zXqeaxc3qDfLLF/Ik0oSYWQwSW3ilkszp/PUtrG9EC+r4pGQhgrjo3NcOWZ5t8Dl2ja+ITKZCcimAVGGQX9OEEKtVqOQtxAbEqEWkyQJgqg97/HQHeI4IAxDElOk/tI6YsPCzKwyGo04f+8e+sN/RHnpP8UhyxKCJFDJm6SegJ8eMHamzJIZxsVLlNdXWH7hKm7g0To+5KOfPKayP2ElqaD8ylWy1Szk+sRuwPH+nA8+3Odwv0/1ym2Wv3KFlW9dZqskkBVhNFmjeXuD04cdHv1fd/EHCyqBi+T5jM/OOd7pkiutUr6wSmIFIAXY6SqtJ0NOj/s0alWqa3VqKwXqUpu8MOSKsEeKhlu8zPmXmkhyylNDwtLybFgNdjo+Rz8+5cGFA5Jg9WdcmMLxww53f/RTylWNy7eWef21Za6v2Vxz3sUwDPpOxEi6wtkw4N5+m3LT4MrVItde3mBpM0OUBCBqlMs6wTxGUw3CaEzbHZF96TLG/4cLuzMc0Pr+Oz/nwnJGDtcOmXRDAlugauroGmgKFOMZejrDkGeYwgwzNRHkGqZlIcQxBQzSMKRQL2AtWcRSgpd66G7IYtJlen7Kwg+wnQViKKGkAmVZwcrqWAjIGhRKBpY5QREXpOmczRWTnCHgvbGMbMSIpsjacgU9k0EQU2Lbx53ZtHo20/mEXnuI6ASIqURZzqItYrQEfHfGaJiypoVYmQy6LKEoMqocc/WFFSYVmSubZbJlhayg8sLiJh+/tUbvWYfjt55Q8X0EScIQZKJFROd8zuniIomWRWEDUQxwWOdwGPHsYYvw8JxyEFFerVDbqlAoZVEskBQJJZYojHN4psvU6eKKCXFWYvv1V1AyOhgmew/uMR1PMf50hyU3x+p6DmvbwtVFTs7O2X28Qw6DC5calJcy5E0VIyMQxQnuIiaNXBI/YTCbMwwDStc2uf7N21B9DvOIYcTRUoPddx7A48/3+vQvRCiIQorMkNlIZz6yGU7m7J6eoJZLXP+V2yxdW6F6uYomQjKus7fa4PjjA/7dt9+hn4qUq3my9Rgpjnjy4JAHp22kfI5f/Rf/GfWbNeobLuvxCWVNIiiFmNkV6is1pscLertt0rMj8oFMNAtp3TlFCopkL7xKcPkKqRgxH8m8/+67PHrwlJJVYSktMDjaIb4WIcgpmiQgkLCqS2xeWMEfxAi5LAYiK83P5sI6T89Qep/mwuxYZKJvfiYXVlgv/z0ujNT/wlxYJlVpZPNfiAt7tveE3mkbS05ZblSorZXYvLlGrpTFrBhIi4Tu+YRuZ85o7HB81Eb3E3q9IYqk4Hkeg/mMwmCM2RYRU5uclWAUs4jBDE1OaK7XsX2LiVvn9uVlsgWTVJWZDDymI5vcbo/RIPt8LdifEccRp0OPtj1ilp1SuGwS+gkrZpZEkQmShDByIfHR62WsZonmVgkrOcSUIBZVtMJ1zg+2CGyR0TsfoakysTNnFgfsfdihfiPCu1BgsXoDQYwInQo/fvcJex89wTk5o6ApNDdq1NcqGBkZWfdRZcCLEBNIYzjrjUiKOoWlMptvvkamYqGv5qjf3GK60+P0u3f43d99j6tXN3nxN79MN5jzw3fvEpzbFJeLKEKClCYEixBFFJ/fGk5cRt0R7TOHvbMe0zDl6stbXP/6FpqVUpYcLFlkuHSN99eK7P/NR59rHn8hQgEhRJHPmE3qTMbPG4VG0wUZq0J9tcrqZo1CQyYjJZh5E3nQQBFTjp6d8GjngGo/T22eQ4xCDg87YGqsXN5m9XqRSlOkKU9ppH2KgkgsJBxnajgVHb2ogpkSilDIWySiQrszpSW3uL6/gVssE0sxsxOb9rNTnPaUjfUK1USiHkmYkxBFkZhZFoEgMlAlJEdATAVE+TkO64kzljezaBN4enZK+8kBVjGHHChMT4ZkIoWcnkVNFISBj61rDIsbpH6Ek8TsHE6YtlrI9oxC6TpSJoukyESpB4JAmqYEQUAYPsdrXdelfGmN5oUlitUC+RUTMU0oaxLVco7h6ZCTt5/h9eeMZlMSIAw9fNdmYTv4C5mxYOEQIQkWbmzhB1kmpzOGrRG6pGI0VErNArW1AqubZUrVLMVqDm8WERMT+CkkAj1FJQk83DAgEkTGExflpIXZyVEoGWyulDBlAW9hYygCopygyRJZQ2V9pUFzrUQmrxOJoIg6migzas+RJy6OHzFNImISlJxGTELYHbL25Ax74nOpeYWcZRIpAUnikIopkSRjNQrksgLLvo0hhgiSzrC8TOhK6GWTQHreS5FVdRAyTE8XzI7GOGYWp5pDEGP8EZztHDPp9AiSEEFR0BQVQfgZOpakEMaETohj2yxsl/F8gZwzKa7VqG6UMYsapWWVNXmVUT7HvZNzTh8+Rmqdoz1q0w/mnD89JRNJ6LGIN/ZZ5HycaYosiMSxQGBLeDOB+cLBiVLQdcrVAlZWpKQPKDPCFFKUksXq1fznHsdfjFAgoqzCA7dNuzOj3Z0TolNYrbG6scxqQ+aycUhOCohyAupXdQoXlxiEX+GTP3uXZ/tHvLi3CarI3ZNTbv7ml7lwvcb6eotr1QW18AEkS/jzDIXgKXUtR5pdwmpUMCcp07N9rl++iZbqfHD/FOdRjx/90Y+48ewWoiiy82iH0799SL5SYOlmlkzisuH45EcGSSrzSXiFSVZlnph0fYeFPSU5n1H9pU02L2bYWDPodquk3ws5+rhFjIytmUiCRsnKkZUzxBOHyUMF5yAiu1GhrRqMSPnB3/2E3r0TzFRA9CM0LyX2EkaC/3MuzO8mTPoz9icz+nHEa9sb3PzaJksFhS1t+JwLu1ok/HKB3WOXB83bHLx9l+4Hn1A2I6qmxfTJOU/vHxOo15DXt8hbEjvuEoawQXeRcu87b/P+996iZGhsf/06S1mFq5fXuXl9hYwGaeoirzdxYo/pOMCeewSugxunaJUapZVlBtMhh75H+t4TemddCvItNtaqz1uSywme5+POfPBitmoNCs0sip7ieR5ZVQZdJ4hChpM50zhl6ZXbmEULcT1PEiWc3n3MnQ9OOc6MKWgFrry0TCYrks3JRLFEa+KRuVlCjzrcUuZo6YwkhH6hTpJkKW6UeSQlWKbC9Y1NFC3LW09Ouf9nPyI8v8EiWSGVU6a7E47ev0sUxISGQKAL6IlO6Dx/HVwDkihiMZjS754zGkwYTOaUbl9k7fo2L32tgKlGlNIz8mtFRhd0JPMNzv+PFnudDs/+8NtEsoRiz8gEMuI4IhjG9OMZj8NTShWDNI2ZTyMOng1whQTVMLHKNdbXlihqEZviIavqGIOIXQpUNpY+9zT+QoRCGqvYoxVyokBBGzCZPMNNFlz9pWs0txJK5QlVTqiJHqroM8+/QijnsDZ8dMNAkFTOxqeYpsWF2jbegUzP8zl+zUM1TI6UDGuZDP48xq9sEQpLKFoVM3NOmszI6QWMsoqZ1bhZWWU0cxgfnPL2T+4BImkioiQB0WzO0cMj7GGRvJqh0wwplQqM5hLnWoxQydLfOWN6OiBjKNTqJTY2Gty6rdAfBH+PC3MWIwa2+SkuzMhLnF5pfiYX1mPCzvboU1zYYLLgwRfkwmKhgTRqfSEuLCMLXFqq8Y3tJtULJZrNBtmcAkKIrGQYTHpUK3keRYfM3DlTwSeWVWrfuE3j1eusRD7nj5/SedRm8OEpyhgu3dhg7ZV1yn5MEvo8ezTEjxRufTmHoQioMgiKxER1mQpj2sNz+uMhct5k9c1NCqsl8ptNZEFi6+oKe9//kKPjDn/yJ+/y1cEtKg2T2oUso8mYg7TAdm+EXA6ZyCJ5CgjBgGI4QdBMqvkiYsFEy+gUqjp6PstLNNk7P+Mnf/1jOrMrWJbJ+OEZ509G6ILKkqyRiyWGJ1123pfQdIWlZgk/jBkOZxw98pnMQzxForF5ifXtVXJJmzo+WzwhkQvo9QJXv7JJq/t1Wh/sc/pX72EIWYKpSZoVOR6P6Lz3HlpWpV7Oc21zFV1WGQ4WTBcp/ekMJ/QplvIkSUIpM0FxXPLJKaZgk4mWSaR/Yl2SaSLRbSu0Dka0Tyb4joOW06isVTDyKYoaIgcuWuqixgv8MCSMErwwIE58hDSkULWolisISp6nJ1OenuxRfVki0Tcobq2hpAZSBHPHY66o+L6AnMQocYRVLFJcypEr6hQMhf54gi2m+CMb1w1YBCECEZKQEPse9mTO/l6fWSyw8DSOT8aciTGFixb2UY/hSQ+SiFzBIlfIYWV9ElH9e1xY6I1wfedTXJhVNojc8DO5MGdu4z8of4oL644nHH9BLsytGoR57QtxYVZGpb6Uo1TPUCrpZMwEWfZAiFEVEV0XsfsLoihiurCRtAxaPsfK5TUqFyoQR5RMiSNPpPv0iLvPTghljSSbxUsNQs+h25mTtYqokkgcR/h+RBIluDMXd+bhTDwG4zlpaYnSap3KRoXGeg6JmO3SOuKgSyq4nP30mGdPTpjNSkwdj5kzw9/Ik8lEyHKAH2ZwlQzpIkadyYi2SzyaIKsSki6hFySyVYGmojH1TLqTPsd3n1CpVAk7C3ASZE0gFUScRUCvN0U2JXRNIgoTRCQmE4fISXDnHqkooJgagqYi6gtU1aMYnBMmMY6goisJ1WaF+dKUAwnC0MeNUwQlC4rILLRT6tHLAAAZ/0lEQVRJ5zYde4QfJ5RMi0yoE9gR86mNmEQIqf98WxUJXS4iqyoioAKZUP3c8/gLEQrzecRf/MUOHz88ZjqckLeKLN/YpFCpIsgai9Sgl94gEkIcf8xwvkKv5dN5b4d0McTMRnzl11+iVs4TBRIbo3We7bV46/c/4G/+9Cd869/8NvKL1zEVhVnUo9f36R894u5ffJ/p+Ziv/vo3ePnNNcySQLaoMZkVOF5ZRtBNjg46fPDkAZtry5SLFjevbKCoIotwyv2HQ0zxjN3DHv00eU6GLUL6+2eULJNGs0a+lGc2OsfI/X0uLFBiylfWP8WFRWnCJw8PP5MLUxGZ7gw/xYXJGZ3o9OQLcWGNXIlMs/m5uTAh1FBije0rF2iuLJHNixh6SpwsSOKERMhiCBmm/S5nvRGH7S6YJWq3N3jlG5cpbkqIiUtVvUBrq8TOw3X++nff4jv3njGYRuR2s6hCTLyIWF6JGLTayMslRCnBsyO8foLbS+icz7BlkfWXGly8prNxIUut0EcVbAzRQJOusHyryR8f/TWf3D+iczAmVUWcwGHj1zLo4wA5jGmdm4hiEXlkcvagz8HxLg/euUNB0lmrVfjSa1tk6xqePaFsmRwciNy5t0/3YIIUa9QzecIwZuwHiJpA6+ETjNPnpud6tUseEx0dPxSZDxYoAoSRz2g6IUlLCGlCJk0Ro5CIFJMBmYKKtV7BXKkx78woOCl5VUW3dPLLa5iFLIfOhI8f7pE6MRuZKnooMkt8NN1HdMf49pyhraEKKppqYJLBUQxMX/nc8/gLEQqu47G306I9GBG7Plk9SxrDqDtG/X/aO/MY2a47r3/O3atu7VVdvb9e3+r9+cV2gpmQaDJkMhkWEUQYIgbEPwz7H4AyQowEEhqBEBKgEWGkAUSEohkySDGQhYwdx3Hs+Dm2396vX7/X+1rVtde9VXc9/NFly8/ESzwO7TzXR7qqc3/33KrzPd31q3vPPef32y2gJRQCUWBPhQNXY2+7x8GtBq2lPYq2SamUZ2Iqz0gpg2pq5D2LzJSO+70atza3WXt+mTFyqKpgbXudsB9T3zqgtVklrZnk8xb5QpJEOiJpSDRbo5ZXsCwdSYxpJ0ifKFMoZpk9PUoiIfCCPvGahE6I7UPTcdl86VWSaoKg5pIdGaPeqtNua6SyFpq0kKKHqisoho4TxXgajCxOMPPwA2QLRSY62zTqHSqHPZo3tzB9hWy5gD5qY2gKiW4PEUSIfojjefQ6XWTUBTuB5rokrTE0FaxOH7VXQmgSTxogTEzLph+rhLGK5kSoTkyXmKbjoBo64zMzRGaE47ap7R/itnpETUGnUqdXbWKjkzEzKCQI/CRBPyA2BVJqRKHE8w3azZBWw6fZdukFIZmSTaacppgXlOwWathlwurhTwq8uEDx9Dgbl3us7e1S9rIkTIW0btNN9qjVGpTHRlGFoHHQoFsPaFZcak6XKKHzwIV5FicURpMNCnIHnS5hbJLOnSIznkdLpWh0N9CCGMVU6Hg9rOV9dl+rInIRiiNBjYlqEatrTVbWKjhtj/L8PKliGrOQIj+VI+5p7Fdq9MI8xVsJGrU+7X5I1rYICJGpJEbOBiFxhMTtdvFcj/n0FCYRYajidProqgJ9H6UXEPUUPAw60iYrVCwZkIj7GKaFlbQwkgkMo4+UXeKgT9SXGGGGjNA5PTmN1dOpHtSo7TcpJ2wsxcRXFPD7eN2YnmtRTeYwohPYapGGn6bZf+9f9Q+FU+h0Ozx3fYWU7xGIiCgRES+tIw989ubnUZIm1nieWECz7bB2e4nmyiba1gEPPPkACydnOXGyyEgZ8iWPsGfwpHqCmWLAlZtj/NEzV9mKerRqVZauNOg1Hfphn9KpEUamRzEyCslIYvYksSIhECSljqtq7Ps+VrnM+CcfYmoixcRZhREzZjIs8fB9p2m2WkwvpNi8s8fS82usdjYJA4ET5Fm/dAel2yHxyGn6nopmZmhVdmg3qtTaPQpjJ3ji03+C8fMJUnkDXxbZ29TZrE/x7NU15hbO8eDDaWbPlUjnM3T6MV3Ho7FVo7xWpa4LtG4Kt9UDPUn7oIsaCqJmm73tDrJkkS1nEWaSIMgQigR+I6KxFnDjpsNTr95k9skzTJ05wyOfOjcIFyZ58Vqdyq0a1wbhwtAigqCLo+pcubJLECYpl0NGJ0xULcT3BJ4b0jhw2N7uUKs5aFaSiblpJqbKjGZDps1ddKqU45BgZgEla/Po5x9hfG6MH371G2i1DpoCYXmS0PeZPqugigyGonD90gvUNmJWb+9glvOcfuwsf+qzZ1nQbjCuxYypFcKohmuMcF3x6YQSbB1FkRhqyPjEOB3Pwd3o8fRXfkzZjrBTBpqdY2+nya2DbfaqVTJ2huyjZ0mV0jQnbMKcxtTcDOf0DHZJp7bVZX+3y6srG/S1PnahwPzHz5ObHCU9maZeqeG1O9x+8VUu37iFJRMUMqM03Q5dpcXyxdcInH0u/MITtOizbRsYuospdxmN8pycnSBy2kRRhKWpdAoGaBF4bQ5v1kmsmegixMhPkEtkqGUC1qs7jJglut0O3cBh+fo2qbkSDTtFMZpD8fvsVZusHq685+/jh8IpGGYCw0hhhgYiAaEX0fXr3D5osXTtNfoCZMICIfD7/lHq8khyZjxPeSRBJq9SmhgjlXOwzDpxdIilJ3no/gRzs0chwzRpsby0hNG4wZLvoHqCvtOnXm1y8flbaKFkpJwmN2LjRUchw7ZW1mnWD5l98lEe/cSjlIsa4/ltbNnF9CQnsmnybRPP11H6BW4pLXJKkp4Rstltsf9ihZFLBleubTFWLjFayNwVLiy3MPr/hAsLnRLfb6+8bbiwKITL8fJd4cICIXF/ynBhT794ifSi/Z7DhfWUGOF5/OCFi9y4s8RYLsHkwhSFYg5LKLjVJnqkcHDoELYj/K5LXsBorUVmL4dFjCU0RopJ/F6HDNBOKazYGp25OVaurKE4GqnUHulSnlhe4M6lTbr9gOU7LsvLG1SrNc58/gnmzy/gpiIcfZQqESktJtSyvNQe5fqmwp1bO7S2V1k8k2VmrMiJ+TlCJJ12imvX17hYb+E0K1hBRKSYeG4PEfkEGtSffYWOnWDn9hhGNkkipaMnbEQ3STdI4/ba5AtJ5hYmyM2M8sAXHyY7mSafVVHjMq1WwIlHFvnBV5+lemcb6hskLIsHR05Sq4fsvlDl6799kanzY/zqlx6h19xCGgqOUuag2aHR6mJ5SeJel8dnp1nOaajFLClDJwp6dOohfq1Lv1lHui1CP8QqCfJylHa/z9I3nmP1fz1PZNtEpg6qhowURP/nLEajZugIzydl22RG0tglE8MwiDxJ5Ls0HZfDbo8giOj7EsNXSWgqKctEUQEiHM/H8DwypkfK9kjqCg0joFzKkMukuH3zkJRtoikG/X4MZhJFs+kHCjdvb2CYKiPlPLliijCO0eoe1b0q7VYLK5MkVYBE1kO3muhBByU2iYISQdDHdWL6rqATgEynSecsSvNpmgd7dOoOV25usLZVY25skqjeI+5FaKaBlU8RJwKEPET1AyK3jOto7FYbTBRNRiZMCiMpUjmTmIhYESBVzKSFrveJEXRiD2GoZGfniZSQrtNkz/XYXakiuj7z5SS5nIFiGTQPPNbX2ty4dYeqU+PU2UcpjEcU802K8hrpuIqqlAnCSRRLxxixiMwYzVSw82msZAq/12GjU6PTUtlvOtx38jSmUPHqHfJWml4jRAs0cqpJQWr03DZOy0EUFVRNJwoEKddH+n2mUkm8rMEtE4yURaRAaOh4UtCs9WlWDnEdn82tAw6bHaRqoBgJfF/hsKWSzuXoqgIfHUd2We6m2bndpHJtH6XnMHFyhsnpMpMnSwhDIXDy1PpdwpZFrGmIrkfn4AARSnQ9QeTB4VoTRWnTvFNHTerE+cRR2jZFJ6o6OD1JRskwlUmTSyeYtEPSyR4p2yWbtqjnNbr+DIXZcdxaBdlySOVtJk7kSPQ0Duo9rlxcp+b1OXWhiDYziUAjDExaHZ+wFxG7R3E8YpFk8tw0qfkytqljqBqdQ5f9yxu0dxocVFqMWAliQ5AwLTBBFQqB08MPfHpRRCAFmtSxlMR7/z6+W4V3SEX/X4BPAq9Pqv5rUspL4mgGx78FPge4A/ur7/gZqoZKj8Uz85w4NUlhOkkmm0QGPs2KS6XaZn21gtv0aQdtGq0WXhCwU2uT2qrhRipThxOkdQ0zO4IqmoBKOisQUYwfS4hy7G4dcq3uY5xd4NSZGaZPFVHUkO2d2/zolVWcK33Svk3WTlFSBf1Wl6SuMTk7iWHtYSegaDVIaC4JClSrEUFX48a1Cj98+QbOhMGnvvQnKY/ZzJwUNNyYRkPw2jdW2F+v8P2Xb1PsN9AJUXNJaAf0DwLsxTxJI2JtT+Fgo4mzV2H6wTLpE2lyE1kSKYilRMqIKJJIxWdvd5+t/X2sqTypQobSJ86SHyvgNNss/+AS3/r2a2QzNrrIMzM7Tr3bYHOtzY8uvsLKzi6TZ2d5/DOPMZ7xyJkSETlYusQgRrOSaIGgV6vTaeySUvp86i99iexYHpGIWb21THdrn+WX7/DSC8vMjk7gd1q8uruCK8ERHkJ6vPDcDxi/L89owWI2t4CSKnDg1VE0jzD0sRMG6bRAsQyMSMOJQg7aDSqNKutLbbqpo4zLYc+j0XdIZ7MEd2pUnRiaEZ3ZMSzLpNkK6fg+m/s1Gt+6irt8m4XJHI+ev5/Z06PkZgVWRievFSk8mmOvp3H1YoXK7Qpbz7yADPpk81nMfAIrp2KECno3puf5rNaqtHdqoCo4QQBRyKPT4xSAkhSME5FUPHTDxXFq+H6aWi1mb2cdGbU5c2GamRMTzE6PkC0tUmvH/ODiTXbWt/n3//Sb/IW/82uMT4ySJGTnRp3map12o0I+oaFemOVjv3aO4kkbEQeoeorWlk/SSlC5sk/j+ioLkzmy951gfLaI0AQWOo3dDq1uj9Zhm27LYX+rQaf9wa59eLtU9AD/SEr59bfU/2Xg5GB7nKNM1I+/0wfEMiJTsDhxssyJxRHsUUEmayEDHV1LIHWVRsODoEuXDr4SEUtB0/XZ2mnSDxTObO1hKlncnIGuJPG1gbRYodsJ2Nvtc/tOi7oR8InPnGfxvilOnklhJxS2K0Xs0hRrl3dZf36V0OkQmUch2okl7XqNsJ9H9kFTdRTPoFe3aNV8dne7LK/sUO10mPul05y9UGY8rzKZqtAUCZpTWRL9x1hd2qVfUXFvHKIbgqDbo73ToHa7SfOhHEoh5M52h63VHUzfZWS0hJk5ChcW4aNoKhARhiFxHNJotOh2XSZPz5CfKJJfHKF8oozijyE6fTZ2erT7Pa4t7dJ1BbV2jdXNQzZ2Kxgpm1w+j6IohGRxY5U9OUdHdqiHaRpdn141oLtRISElpUKGqdMjZMdTpHOCYm6C3dksvW7Awcs7hDKk7bbw1Bi9VCCXMQkjl4bXpbdZZWlpjwcWZxBjSSw7h9D7+CKi5/p0HZ8wNOg5IU4YgQ5SlXhuQKveg35AUlfRhCSKfLaWb2NuJmjuHbIzXkIxdGIkftSnUleJNg7QOi7l/DwJ2yaVsUnYLkkbTLVBccomjAzyuzbdpoaiQCpjUCyZlKZzJEc0NKkQO5JOx6Wx3iUV5/D6PrLuoyggiPHDCC+Q9Lo6smUSKTGHHQXX1di7skFnY4dsFFIYLTI2OcLC6TK5kQyjjqDlj5C74/K91/b50R9d4dTsLNPlAp3NNs3tQ0IlRi0mKJ3LMzcVU0jUUenTp4dWLlHJmeyKiEiTpEZtxkZtJiZS6JaKJgwMVUGrGahhjB4KupZL2I9pf1BO4R1S0b8dfxb4r4PzfiSEyAkhxqWUb7saw/Nc8rOLPPj4/YxNpCiUIYoCZKziBHXUjk7OLlCLXGqRhzxVROSztA2V/uY2uzf3iZ7qc/a+eRTlfibGLLK5BM3eIXhp9lYivvrN/8nNapVf+NJn+ZU/f5KZcsxUeJOsIbk8bRCUP8Hsx1ReMr/L9voqm1evMWqkycgEG9++ibc4w85ZE/v+HFNeitZunovf2uDq7XVeWbvB2LkpfvUL93H/DIyo+zxk/Zgd5lnHovPQPEHK4JVnb+DqFqYmKZs2/ZUaV79+lezoxxg7XeTZ799k/cUl8qaJZqSwkyXiqI/0VRQUcCSx49Ote6wd7NOKVc6dnOLsx+aYfWyEVMlDlyoXTjzO91Mm15a3+PoPLzJ9NUHKTLOyfQcthgdGz5D2dVobMavZCN1QWc088ka4sMuXtmhvHLD5vR/y8GyRxYcWue8JDT3TIGM1OTXaZsP6GJOjY+xMb3Cwuslu5SrJhSmmHz9P8f4z9PsuNy79GO/GNj+6uEVGybFwsszUYobCqEbo+dx66Q4r11tUrzkYMyd54MEFPvVXHqPXa3HzxU0Onr9OdW0DM/Sxx0oEIkLqFoob4CxvsXdrA0/GOE6XlGrS8jNkdZdiWaeULyPRMCyLVLJH2oasUUMPWth6idF5hV4LlvweZx5ZYG6hzPR9RSYzY/TjmM2WS7PWJatmuHhjhaAvyXQMDGGwcceh1rtJ9rDGTjpNnLU5JKTWTdCrbtN/+RLldsTU1BjnHjzPickcUwuSRKbNhJWluDCJt1sibxo89eJ1Gs8tc3jqfhpBn8ruLlohSf6BWe6/kOWJ1B6l7gYFQ2M90HhBe4goqLGzv4Y5muTxP/NxTo2WKMwmiPWQfqRg59IkDgKcZpd+4OI4XaT2AT+SfGsqeinlS0KI3wD+hRDit4CngS9LKT3elIp+wOtp6vfe8p5vpKIXhsL4dJ6RqRR2TkVNeCgSZCxJJQzspMZubYeNyiYirXPqk4+Tnxkje2KcyrUVdm6t8+qPb3Dj0hq2A2efnEJJtjFMk8PqUciwerfN1OI0n/vTi5yZ8SirbUb6q2TViLC3SKVsowcGUVp5I2TYqck5YnTWqg7/4Xe+Tf5clr/4pYepBApXv7/Ey89dotJpM35ujkc+/Si5M5PYagVdVeiRwfElXtCh3fFoNTt0W/tksxEnJgrMnZqj305w8cbGXeHCwmqbsXThbcOFddoO69t3hwubWjzBwoT7U4ULY3eT4q2V9xwuTNWhLFvcF95ATafJNA+gW+Hyxgq3bq2hpPPMn7ufqV88TXE6SVJkOP3IL8K2x3Nf+z989+mL3LhR5uEnTmNmYlShcPVqnSvXVxGFEp//e7/CyKzJ2DxEUZpI5Km8FFMwTBLpJAsXTmKnTHK5NJapU68esr1RIfQldzaqRJ0Qu9NG9HzUMEGn2cFtNdndjCnOZHFcnxHRY8EQrEdpntmMWNtwSZR1Fi/Ms7hQZn4xi9QD+n1B2EhDHNHIpVAaPr7j4U4n0EdHSWZS7O2usXFQY/lr38ROpnGCEE2xif0A2+8zMp6iUEwwns+QzSXRRnvkky3M+BAjThHNGPzSL5+i0+qzeqfKq898B8dxsRSVs584g13KUlrMkIzXyCguoZoioeVxD4vcWb9Mrd3g1EyBYiFJciaBYoNlGOi+gp1Q6ckqHbdDxwtwsklKDy9S+YP99+QUxLvkfn2rc3g9Ff3fBWrAPkcTpn4XuCOl/OdCiP8N/LaU8vnBOU8D/1hK+co7vG8VcIDD99yYe4MSHz3NMNR9XMxIKUferdL7TUX/WSnlvx6YPSHEfwb+4WD/9VT0r/PmNPVv974jQogfSykv/DTt+Xnno6gZhrqPux3vhvJuFYQQI4MrBN6Uiv6mEGJ8YBPAnwOuDU55Cvir4ogngNY7jScMGTLkw8UfJxX9M0KIEUAAl4C/Oaj/TY4eR97m6JHkX//gmz1kyJCfFX+cVPSffpv6Evjb76Mtv/s+zvl556OoGYa6P9T8VAONQ4YMufd51zGFIUOGfLQYOoUhQ4bcxbE7BSHEZ4UQy0KI20KILx93ez5IhBD/SQhREUJce5OtIIT4rhBiZfCaH9iFEOLfDfrhihDi/PG1/P0jhJgWQnxPCLEkhLguhPj7A/u9rtsSQlwUQlwe6P5nA/ucEOKlge7fF0IYA7s52L89OD57nO2/CynlsW2ACtwB5jmaBHUZOHecbfqA9f0CcB649ibbv+Jo9ifAl4F/OSh/DvgWR09zngBeOu72v0/N48D5QTkN3ALOfQR0CyA1KOvASwM9fwB8cWD/CvAbg/LfAr4yKH8R+P3j1vCGlmPuyI8D33nT/m8Cv3ncnfIBa5x9i1NYBsYH5XFgeVD+j8Bf/kn1fp434BvAZz5KuoEk8CpHCwEPAW1gf+P/HfgO8PFBWRvUE8fddinlsd8+vN06iXuZUTmYzDV4fT3z5z3XF4NL4kc4+tW853ULIVQhxCWgAnyXo6vgppQyHFR5s7Y3dA+Ot4Di/98W/2SO2ymIn2D7qD4jvaf6QgiRAv4Q+AdSyndatXvP6JZSRlLKhzma2v8YcPYnVRu8fmh1H7dT+KnXSdwDHLxpivg4R78qcA/1xSDuxh8C/01K+T8G5nte9+tIKZvAsxyNKeSEEK9PEnyztjd0D45ngfeeGvpnyHE7hZeBk4MRWoOjAZenjrlNP2ueAn59UP51ju65X7f/3K8ZGayF+T1gSUr5b9506F7X/ZPWCC0B3wO+MKj2Vt2v98cXgGfkYIDh2DnuQQ2ORp9vcXT/9U+Ouz0fsLavcRRHIuDol+FvcHTf+DSwMngtDOoK4HcG/XAVuHDc7X+fmp/k6DL4CkdrYi4N/sb3uu4HgdcGuq8BvzWwzwMXOVoL9N8Bc2C3Bvu3B8fnj1vD69twmvOQIUPu4rhvH4YMGfIhY+gUhgwZchdDpzBkyJC7GDqFIUOG3MXQKQwZMuQuhk5hyJAhdzF0CkOGDLmL/wvK7u3818y/nQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# now turn this into a loop:\n",
    "target_height = h_new\n",
    "target_width = w_new\n",
    "target = np.zeros((target_height, target_width, c), dtype=texture_1.dtype)\n",
    "\n",
    "step = block_size - overlap_size\n",
    "\n",
    "y_begin = 0\n",
    "y_end = block_size\n",
    "\n",
    "for y in range(ny_blocks):\n",
    "    \n",
    "    x_begin = 0\n",
    "    x_end = block_size\n",
    "    \n",
    "    for x in range(nx_blocks):\n",
    "        if x == 0 and y == 0:\n",
    "            # randomly select top left patch\n",
    "            r = np.random.randint(len(all_blocks))\n",
    "            random_patch = all_blocks[r]\n",
    "            target[y_begin:y_end, x_begin:x_end] = random_patch\n",
    "            \n",
    "            x_begin = x_end\n",
    "            x_end  += step\n",
    "            \n",
    "            continue\n",
    "        \n",
    "        xa, xb = x_begin - block_size, x_begin\n",
    "        ya, yb = y_begin - block_size, y_begin\n",
    "        \n",
    "        if y == 0:\n",
    "            y1 = 0\n",
    "            y2 = block_size\n",
    "            \n",
    "            left_patch = target[y1:y2, xa:xb]\n",
    "            left_block = left_patch[:, -overlap_size:]\n",
    "            left_cost  = l2_left_right(patch_left=left_patch, patch_right=all_blocks)\n",
    "            best_right_patch = select_min_patch(all_blocks, left_cost)\n",
    "            best_right_block = best_right_patch[:, :overlap_size]\n",
    "            \n",
    "            left_right_join = compute_lr_join(left_block, best_right_block)\n",
    "            # join left and right blocks\n",
    "            full_join = np.hstack((target[y1:y2, xa:xb-overlap_size], left_right_join, best_right_patch[:, overlap_size:]))\n",
    "\n",
    "            target[y1:y2, xa:x_end] = full_join\n",
    "        else:\n",
    "            if x == 0:\n",
    "                x1 = 0\n",
    "                x2 = block_size\n",
    "                top_patch = target[ya:yb, x1:x2]\n",
    "                top_block = top_patch[-overlap_size:, :]\n",
    "                top_cost = l2_top_bottom(patch_top=top_patch, patch_bottom=all_blocks)\n",
    "                best_bottom_patch = select_min_patch(all_blocks, top_cost)\n",
    "                best_bottom_block = best_bottom_patch[:overlap_size, :]\n",
    "\n",
    "                # join top and bottom blocks\n",
    "                top_bottom_join = compute_bt_join(top_block, best_bottom_block)\n",
    "                full_join = np.vstack((target[ya:yb-overlap_size, x1:x2], top_bottom_join, best_bottom_patch[overlap_size:, :]))\n",
    "\n",
    "                target[ya:y_end, x1:x2] = full_join\n",
    "            else:\n",
    "                # overlap is L-shaped\n",
    "                y1, y2 = y_begin - overlap_size, y_end\n",
    "                x1, x2 = x_begin - overlap_size, x_end\n",
    "\n",
    "                left_patch = target[y1:y2, xa:xb]\n",
    "                top_patch = target[ya:yb, x1:x2]\n",
    "                \n",
    "                left_block = left_patch[:, -overlap_size:]\n",
    "                top_block = top_patch[-overlap_size:, :]\n",
    "                \n",
    "                left_cost  = l2_left_right(patch_left=left_patch, patch_right=all_blocks)\n",
    "                top_cost = l2_top_bottom(patch_top=top_patch, patch_bottom=all_blocks)\n",
    "                \n",
    "                best_right_patch = best_bottom_patch = select_min_patch(all_blocks, top_cost + left_cost)\n",
    "                \n",
    "                best_right_block = best_right_patch[:, :overlap_size]\n",
    "                best_bottom_block = best_bottom_patch[:overlap_size, :]\n",
    "                \n",
    "                left_right_join, top_bottom_join = lr_bt_join_double(best_right_block, left_block, best_bottom_block, top_block)\n",
    "                # join left and right blocks\n",
    "                full_lr_join = np.hstack((target[y1:y2, xa:xb-overlap_size], left_right_join, best_right_patch[:, overlap_size:]))\n",
    "                \n",
    "                # join top and bottom blocks\n",
    "                full_tb_join = np.vstack((target[ya:yb-overlap_size, x1:x2], top_bottom_join, best_bottom_patch[overlap_size:, :]))\n",
    "\n",
    "                target[ya:y_end, x1:x2] = full_tb_join\n",
    "                target[y1:y2, xa:x_end] = full_lr_join\n",
    "                \n",
    "        x_begin = x_end\n",
    "        x_end  += step\n",
    "\n",
    "    y_begin = y_end\n",
    "    y_end  += step\n",
    "\n",
    "plt.title('Full example')\n",
    "plt.imshow(normalize_img(target))\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [],
   "source": [
    "plt.imsave('figure2c.jpg', normalize_img(target))"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.6"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
